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Core Principles of Special and General Relativity [Hardback]

  • Formāts: Hardback, 400 pages, height x width: 254x178 mm, weight: 902 g, 18 Tables, black and white; 149 Illustrations, black and white
  • Izdošanas datums: 03-Dec-2018
  • Izdevniecība: CRC Press
  • ISBN-10: 1138542946
  • ISBN-13: 9781138542945
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  • Cena: 119,73 €
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Core Principles of Special and General RelativityPalielināt
  • Formāts: Hardback, 400 pages, height x width: 254x178 mm, weight: 902 g, 18 Tables, black and white; 149 Illustrations, black and white
  • Izdošanas datums: 03-Dec-2018
  • Izdevniecība: CRC Press
  • ISBN-10: 1138542946
  • ISBN-13: 9781138542945
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9781138542945.html
Keywords:
This book provides an accessible, yet thorough, introduction to special and general relativity, crafted and class-tested over many years of teaching. Suitable for advanced undergraduate and graduate students, this book provides clear descriptions of how to approach the mathematics and physics involved. It is also contains the latest exciting developments in the field, including dark energy, gravitational waves, and frame dragging.

The table of contents has been carefully developed in consultation with a large number of instructors teaching courses worldwide, to ensure its wide applicability to modules on relativity and gravitation.

Features:





A clear, accessible writing style, presenting a sophisticated approach to the subject, that remains suitable for advanced undergraduate students and above Class-tested over many years To be accompanied by a partner volume on Advanced Topics for students to further extend their learning

Recenzijas

"In my view, this is a very readable text and very student-friendly. The presentation of the content is clear and there are lots of detailed illustrative examples (which are absent in many other GR texts). You might be aware that there is a strong interest on General Relativity course nowadays due to recent detection of gravitational wave and black imaging. This particular text will have potential to be well-like by students."

Prof. Kenneth Hong Chong Ming, National University of Singapore

Preface xi
Chapter 1 Relativity: A theory of space, time, and gravity
1(26)
1.1 The Principle Of Relativity
1(1)
1.2 The Law Of Inertia: Foundation Of Special Relativity
2(5)
1.3 Space, Time, And Spacetime
7(4)
1.4 Spacetime Diagrams
11(2)
1.5 Relativity Of Causality: Spacelike And Timelike
13(2)
1.6 Segue To General Relativity: Noninertial Frames
15(2)
1.7 General Relativity: A Theory Of Gravitation
17(7)
1.8 Hasta La Vista, Gravity
24(3)
Chapter 2 Basic Special Relativity
27(18)
2.1 Comparison Of Time Intervals: The Bondi K-Factor
27(2)
2.2 Time Dilation
29(1)
2.3 Velocity Addition
30(2)
2.4 Lorentz Transformation
32(2)
2.5 Length Contraction
34(7)
2.6 Foundational Experiments
41(4)
Chapter 3 Lorentz Transformation, I
45(12)
3.1 Frames In Standard Configuration
45(6)
3.2 Frames Not In Standard Configuration
51(1)
3.3 Transformation Of Velocity And Acceleration
52(2)
3.4 Relativistic Aberration And Doppler Effect
54(3)
Chapter 4 Geometry Of Lorentz Invariance
57(12)
4.1 Lorentz Transformations As Spacetime Rotations
57(4)
4.2 Kinematic Effects From The Invariant Hyperbola
61(1)
4.3 Classification Of Lorentz Transformations
62(2)
4.4 Spacetime Geometry And Causality
64(5)
Chapter 5 Tensors On Flat Spaces
69(44)
5.1 Transformation Properties
69(16)
5.2 Tensor Densities, Invariant Volume Element
85(2)
5.3 Derivatives Of Tensors And The Four-Wavevector
87(2)
5.4 Interlude: Draw A Line Here
89(1)
5.5 Tensors As Multilinear Mappings
89(2)
5.6 Metric Tensor Revisited
91(1)
5.7 Symmetry Operations On Tensors
92(1)
5.8 Levi-Civita Tensor And Determinants
93(2)
5.9 Pseudotensors
95(2)
5.10 Totally Antisymmetric Tensors
97(11)
5.11 Integration On Minkowski Space
108(2)
5.12 The Ghost Of Tensors Yet To Come
110(3)
Chapter 6 Lorentz Transformation, II
113(16)
6.1 Decomposition Into Rotations And Boosts
113(6)
6.2 Infinitesimal Lorentz Transformation
119(1)
6.3 Spinor Representation Of Lorentz Transformations
120(3)
6.4 Thomas-Wigner Rotation
123(6)
Chapter 7 Particle Dynamics
129(18)
7.1 Proper Time, Four-Velocity, And Four-Acceleration
129(3)
7.2 The Energy-Momentum Four-Vector
132(2)
7.3 Action Principle For Particles
134(2)
7.4 Kepler Problem In Special Relativity
136(2)
7.5 Covariant Euler-Lagrange Equation
138(2)
7.6 Particle Conservation Laws
140(3)
7.7 Energy-Momentum Conservation
143(4)
Chapter 8 Covariant Electrodynamics
147(18)
8.1 Electromagnetism In Space And Time
147(3)
8.2 Sources In Spacetime: The Four-Current
150(1)
8.3 Conservation In Spacetime: Spacelike Hypersurfaces
151(2)
8.4 The Four-Potential
153(1)
8.5 Maxwell Equations In Covariant Form: Field Tensor
153(2)
8.6 Lorentz Transformation Of E And B Fields
155(1)
8.7 Lorentz Force As A Relativistic Effect
156(1)
8.8 Invariants Of The Electromagnetic Field
157(1)
8.9 Action Principle For Charged Particles
158(3)
8.10 Gauge Invariance And Charge Conservation
161(4)
Chapter 9 Energy-Momentum Of Fields
165(12)
9.1 Symmetries And Conservation Laws
165(2)
9.2 Spacetime Homogeneity: Energy-Momentum Tensor
167(2)
9.3 Spacetime Isotropy: Angular Momentum Tensor
169(2)
9.4 Symmetric Energy-Momentum Tensor
171(1)
9.5 The Electromagnetic Field
172(5)
Chapter 10 Relativistic Hydrodynamics
177(8)
10.1 Nonrelativistic Hydrodynamics
177(3)
10.2 Energy-Momentum Tensor For Perfect Fluids
180(1)
10.3 Energy-Momentum Conservation
181(1)
10.4 Particle Number Conservation
182(1)
10.5 Covariant Equation Of Motion
182(1)
10.6 Lagrangian Density
183(2)
Chapter 11 Equivalence Of Local Gravity And Acceleration
185(14)
11.1 The Eotvos Experiment
185(2)
11.2 The Equivalence Principle
187(1)
11.3 Tidal Forces And Reference Frames
187(4)
11.4 Weak And Strong Equivalence Principles
191(1)
11.5 Spacetime Is Globally Curved, Locally Flat
192(1)
11.6 Energy Couples To Gravity
192(2)
11.7 Gravity Affects Time
194(5)
Chapter 12 Acceleration In Special Relativity
199(18)
12.1 Linear Acceleration
199(6)
12.2 Twin Paradox
205(2)
12.3 Rotating Reference Frame
207(4)
12.4 The Sagnac Effect
211(1)
12.5 Relativists Description Of Spin
212(2)
12.6 Covariant Spin Dynamics
214(3)
Chapter 13 Tensors On Manifolds
217(24)
13.1 Manifolds
217(4)
13.2 Vector And Tensor Fields
221(4)
13.3 Integral Curves, Congruences, And Flows
225(2)
13.4 Mappings Of Tensors
227(1)
13.5 The Lie Derivative
228(2)
13.6 Submanifolds, Embeddings, And Hypersurfaces
230(3)
13.7 Differential Forms And Exterior Differentiation
233(2)
13.8 Integration On Manifolds
235(6)
Chapter 14 Differential Geometry
241(34)
14.1 Covariant Differentiation
241(9)
14.2 What Do The Connection Coefficients Tell Us?
250(2)
14.3 Parallel Transport And Geodesic Curves
252(5)
14.4 The Riemann Tensor
257(8)
14.5 The Ricci Tensor And Scalar Field
265(2)
14.6 The Einstein Tensor
267(1)
14.7 Isometries, Killing Vectors, And Conservation Laws
268(2)
14.8 Maximally Symmetric Spaces
270(5)
Chapter 15 General Relativity
275(14)
15.1 Introduction
275(1)
15.2 Weak, Static Gravity
276(1)
15.3 The Einstein Field Equation
277(4)
15.4 Lagrangian Formulation
281(5)
15.5 Dust
286(3)
Chapter 16 The Schwarzschild Metric
289(8)
16.1 Static, Spherically Symmetric Spacetime Metrics
289(1)
16.2 Ricci Tensor For The Schwarzschild Metric
290(1)
16.3 The Vacuum Solution
291(1)
16.4 Birkhofps Theorem
292(1)
16.5 Spatial Geometry Of The Schwarzschild Metric
293(4)
Chapter 17 Physical Effects Of Schwarzschild Spacetime
297(22)
17.1 Geodesics In Schwarzschild Spacetime
297(3)
17.2 Particle Trajectories
300(3)
17.3 Radial Null Geodesics: Kruskal Coordinates
303(1)
17.4 Gravitational Deflection Of Light
304(5)
17.5 Apsidal Precession
309(2)
17.6 Gravitational Time Delay
311(1)
17.7 Parameterized Post-Newtonian Framework
312(1)
17.8 The Global Positioning System
313(2)
17.9 Spin Precession I: Geodetic Effect
315(1)
17.10 Weight Of An At-Rest Observer
316(3)
Chapter 18 Linearized Gravity
319(20)
18.1 Linearized Field Equation
319(3)
18.2 Static Source
322(1)
18.3 Far From A Slowly Varying Source
323(2)
18.4 Gravitomagnetism: Stationary Sources
325(1)
18.5 Frame Dragging
326(1)
18.6 Slowly Rotating Source
327(1)
18.7 Spin Precession II: The Lense-Thirring Effect
328(3)
18.8 Gravitational Waves
331(2)
18.9 Energy-Momentum Of Gravitation
333(6)
Chapter 19 Relativistic Cosmology
339(16)
19.1 The Cosmological Principle
339(1)
19.2 A Coordinate System For Cosmology
340(1)
19.3 Spaces Of Constant Curvature
340(2)
19.4 Friedmann-Robertson-Walker Spacetime
342(1)
19.5 Spatial Geometries
343(3)
19.6 The Friedmann Equations
346(1)
19.7 Newtonian Cosmology
347(1)
19.8 Cosmological Redshift
348(2)
19.9 The Einstein Universe
350(1)
19.10 The De Sitter Universe
350(1)
19.11 Dark Energy
351(2)
19.12 The Friedmann Evolution Equation
353(2)
Appendix A Invariance of the wave equation 355(2)
Appendix B The Doppler effect 357(2)
Appendix C Topics in linear algebra 359(4)
Appendix D Topics in classical mechanics 363(12)
Appendix E Photon and particle orbits 375(4)
Bibliography 379(4)
Index 383
James H. Luscombe is Professor of Physics at the Naval Postgraduate School in Monterey, California. He received his PhD in Physics from the University of Chicago in 1983. After post-doctoral positions at the University of Toronto and Iowa State University, he joined the Research Laboratory of Texas Instruments, where he worked on the development of nanoelectronic devices, before joining the Naval Postgraduate School in 1994. He was Chair of the Department of Physics between 2003 and 2009. He teaches a wide variety of topics, including general relativity, statistical mechanics, mathematical methods, and quantum computation. He has published more than 60 research articles, has given more than 100 conference presentations, holds 2 patents, and is the author of Thermodynamics - an introductory textbook published by CRC Press.