Preface |
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xi | |
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1 | (22) |
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In search of the behavior of superdense matter |
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1 | (2) |
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Neutron stars as probes of superdense matter |
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3 | (14) |
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Abbreviations, natural units, and conversion factors |
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17 | (6) |
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Overview of relativistic stars |
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23 | (18) |
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History and idea of neutron stars |
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23 | (3) |
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From neutron stars to strange stars to white dwarfs |
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26 | (1) |
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Stars made up of absolutely stable strange quark matter |
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27 | (14) |
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The strange quark matter hypothesis |
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27 | (6) |
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Peculiarities of strange quark matter |
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33 | (8) |
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Observed neutron star properties |
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41 | (19) |
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41 | (4) |
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Pulsar distances and dispersion measure |
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45 | (1) |
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Rotational periods of pulsars |
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46 | (4) |
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50 | (1) |
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51 | (2) |
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53 | (1) |
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54 | (1) |
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55 | (1) |
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Magnetic fields and cyclotron lines |
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56 | (1) |
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57 | (3) |
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Physics of neutron star matter |
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60 | (9) |
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60 | (3) |
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63 | (6) |
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Relativistic field-theoretical description of neutron star matter |
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69 | (47) |
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69 | (6) |
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75 | (5) |
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Relativistic Green functions |
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80 | (11) |
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Relativistic Hartree and Hartree-Fock approximation |
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91 | (5) |
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Relativistic T-matrix approximation |
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96 | (20) |
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T-matrix approximation versus Hartree-Fock |
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96 | (3) |
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Martin-Schwinger hierarchy |
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99 | (2) |
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Parameters of relativistic meson-exchange interactions |
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101 | (5) |
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Factorization of six-point Green function |
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106 | (4) |
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T-matrix in momentum space |
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110 | (3) |
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Spectral representation of T-matrix |
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113 | (3) |
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Spectral representation of the two-point Green function |
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116 | (30) |
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Finite-temperature two-point function |
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116 | (12) |
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Determination of baryon spectral function |
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128 | (13) |
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Application to free lepton propagator |
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138 | (3) |
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Baryon propagator in relativistic Hartree approximation |
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141 | (1) |
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141 | (5) |
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Dense matter in the relativistic Hartree and Hartree-Fock approximations |
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146 | (47) |
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Self-energies in the Hartree-Fock approximation |
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146 | (5) |
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Self-energies in the Hartree approximation (Walecka model) |
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151 | (3) |
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Derivative coupling model |
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154 | (2) |
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Coupling constants and masses |
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156 | (6) |
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Summary of the many-body equations |
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162 | (2) |
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Properties of nuclear and neutron matter at zero and finite temperatures |
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164 | (12) |
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176 | (6) |
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Baryon-lepton composition |
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182 | (7) |
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Microphysics behind π- and K- condensation |
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189 | (4) |
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Quark-hadron phase transition |
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193 | (10) |
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Conserved charges and internal forces |
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194 | (2) |
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196 | (4) |
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Note on the structure of the quark-hadron phase |
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200 | (1) |
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Model for the equation of state |
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201 | (2) |
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Ladder approximation in the self-consistent baryon-antibaryon basis |
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203 | (17) |
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Self-consistent baryon-antibaryon basis |
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203 | (2) |
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Matrix elements of boson-exchange interactions |
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205 | (4) |
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Matrix elements of spectral functions |
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209 | (1) |
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Propagators in the self-consistent basis |
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210 | (2) |
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Matrix elements of baryon self-energies |
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212 | (6) |
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Scattering matrix in the self-consistent basis |
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218 | (2) |
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220 | (22) |
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Nucleon-nucleon matrix elements |
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220 | (5) |
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Nucleon-antinucleon matrix elements |
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225 | (3) |
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Isospin contribution of boson-exchange matrix elements |
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228 | (1) |
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Partial-wave expansion of scattering matrix |
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229 | (5) |
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Partial-wave expansion of baryon self-energies |
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234 | (8) |
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Dense matter in the relativistic ladder approximation |
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242 | (21) |
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Summary of the many-body equations |
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242 | (1) |
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Properties of symmetric and asymmetric nuclear matter |
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243 | (8) |
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Properties of chemically equilibrated stellar matter |
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251 | (12) |
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Models for the equation of state |
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263 | (48) |
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Equation of state in relativistic Hartree and Hartree-Fock approximations |
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266 | (8) |
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Thermal bosons and antibaryons |
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274 | (5) |
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Equation of state of a relativistic lepton gas |
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279 | (1) |
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Equation of state in the relativistic ladder approximation |
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280 | (11) |
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291 | (2) |
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Collection of selected neutron star matter equations of state |
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293 | (18) |
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General relativity in a nutshell |
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311 | (10) |
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Some formulae of tensor analysis |
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312 | (2) |
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314 | (1) |
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Einstein's field equations |
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315 | (6) |
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Structure equations of non-rotating stars |
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321 | (37) |
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Energy-momentum tensor in covariant form |
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321 | (3) |
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Tolman-Oppenheimer-Volkoff equation |
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324 | (13) |
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Stability against radial oscillations |
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337 | (8) |
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Structure of non-rotating neutron stars |
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345 | (13) |
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Structure equations of rotating stars |
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358 | (31) |
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365 | (8) |
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373 | (2) |
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375 | (5) |
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Dragging of local intertial frames inside rotating neutron stars |
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380 | (5) |
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Baryon number of a rotating star |
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385 | (1) |
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Redshift, blueshift, injection energy, stability parameter |
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385 | (4) |
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Criteria for maximum rotation |
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389 | (35) |
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389 | (5) |
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Empirical formula for Kepler frequency |
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394 | (8) |
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Dragging of local inertial frames neglected |
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395 | (2) |
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Inclusion of the frame dragging effect |
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397 | (5) |
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Gravitational-radiation reaction driven instability |
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402 | (22) |
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402 | (2) |
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Oscillations of rotating stars |
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404 | (6) |
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Application to l = m f-modes |
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410 | (14) |
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Models of rotating neutron stars |
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424 | (39) |
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424 | (4) |
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Stars rotating at the mass shedding frequency |
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424 | (3) |
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Stellar sequences of constant baryon number |
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427 | (1) |
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Stars of a given rotational mass |
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427 | (1) |
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Exact versus approximate solution of Einstein's equations |
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428 | (4) |
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Properties of rotating neutron stars |
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432 | (31) |
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Absolute bounds on neutron star properties set by mass shedding |
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432 | (14) |
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Properties of rotating neutron star sequences with constant baryon number |
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446 | (1) |
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Frequency dependence of hyperon thresholds and quark deconfinement |
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447 | (7) |
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Evolution of a pulsar's braking index |
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454 | (5) |
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Implications for searches for rapidly rotating pulsars |
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459 | (4) |
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Strange quark matter stars |
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463 | (59) |
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Description of strange quark matter |
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463 | (12) |
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Cold matter consisting of massless quarks |
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466 | (1) |
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Cold matter consisting of massive quarks |
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467 | (4) |
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Quark matter at finite temperature |
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471 | (4) |
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Hydrostatic equilibrium sequences of quark matter stars |
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475 | (1) |
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Electrostatic surface properties of strange stars |
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476 | (11) |
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Impact of finite temperatures on electron distribution |
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478 | (5) |
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Gap width at finite temperature |
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483 | (4) |
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Rotating strange stars enveloped in nuclear crusts |
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487 | (14) |
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Equation of state of strange stars carrying nuclear crusts |
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487 | (3) |
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Generic properties of strange stars |
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490 | (3) |
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Properties of rotating strange stars |
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493 | (4) |
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497 | (1) |
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Compatibility of strange-matter hypothesis with pulsar glitches |
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498 | (3) |
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Complete sequences of strange stars with nuclear crusts |
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501 | (11) |
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Strange stars versus neutron stars and white dwarfs |
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501 | (5) |
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Limiting rotational periods of strange stars |
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506 | (1) |
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Strange dwarfs versus white dwarfs |
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507 | (3) |
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Possible new class of dense white dwarfs |
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510 | (2) |
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Stability of strange stars against radial oscillations |
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512 | (4) |
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Eigenfrequencies of strange stars and strange dwarfs |
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512 | (3) |
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Schematic arguments for the stability of strange dwarfs against radial modes |
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515 | (1) |
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On the making of strange dwarfs |
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516 | (1) |
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Features of strange stars surveyed |
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517 | (5) |
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Cooling of neutron and strange stars |
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522 | (43) |
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Equation of thermal equilibrium (energy balance) |
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522 | (6) |
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Equation of energy transport |
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528 | (4) |
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Radiative energy transport by photon diffusion |
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528 | (2) |
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Conductive energy transport |
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530 | (1) |
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Photon diffusion and conduction combined |
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531 | (1) |
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Summary of stellar cooling equations |
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532 | (2) |
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534 | (3) |
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537 | (7) |
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Neutrino pair bremsstrahlung |
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539 | (1) |
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Modified and direct Urca processes |
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540 | (2) |
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Quasi-particle processes in boson-condensed matter |
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542 | (1) |
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543 | (1) |
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544 | (1) |
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Comparison with observation |
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545 | (7) |
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Standard cooling calculations |
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545 | (1) |
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Enhanced cooling via direct Urca process |
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546 | (2) |
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Enhanced cooling via pion condensation |
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548 | (1) |
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Enhanced cooling via kaon condensation |
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549 | (1) |
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Enhanced cooling driven by quark matter |
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550 | (2) |
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Strange quark matter stars |
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552 | (8) |
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Enhanced cooling of strange stars |
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552 | (2) |
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Slowly cooling strange stars |
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554 | (6) |
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Summary and concluding remarks about cooling |
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560 | (5) |
A Notation |
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565 | (4) |
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A.1 Four-vectors in flat spacetime |
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565 | (1) |
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566 | (2) |
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568 | (1) |
B Useful mathematical relationships |
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569 | (5) |
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569 | (3) |
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B.2 Fourier transformations and related formulae |
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572 | (1) |
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573 | (1) |
C Hartree---Fock self-energies at zero temperature |
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574 | (2) |
D Hartree---Fock self-energies at finite temperature |
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576 | (7) |
E Helicity-state matrix elements of boson-exchange interactions |
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583 | (6) |
F Partial-wave expansion of boson-exchange interactions |
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589 | (16) |
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F.1 Amplitudes associated with pseudovector meson exchange |
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589 | (4) |
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F.2 Amplitudes associated with vector meson exchange |
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593 | (12) |
G Rotating stars in general relativity |
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605 | (33) |
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G.1 Riemann-Christoffel tensor |
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605 | (16) |
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621 | (4) |
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625 | (1) |
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626 | (8) |
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G.5 Energy-momentum tensor |
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634 | (2) |
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G.6 Covariant derivatives of the energy-momentum tensor |
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636 | (2) |
H Quark matter at finite temperature |
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638 | (5) |
I Models of rotating relativistic neutron stars of selected masses |
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643 | (6) |
J Equations of state in tabular form |
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649 | (1) |
References |
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650 | (24) |
Index |
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674 | |