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Gravitation and Spacetime 3rd Revised edition [Kietas viršelis]

4.00/5 (25 ratings by Goodreads)
(University of Vermont), (Universitą degli Studi di Roma 'La Sapienza', Italy)
  • Formatas: Hardback, 546 pages, aukštis x plotis x storis: 254x178x30 mm, weight: 1180 g, Worked examples or Exercises; 24 Tables, unspecified; 205 Halftones, unspecified
  • Išleidimo metai: 08-Apr-2013
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1107012945
  • ISBN-13: 9781107012943
Kitos knygos pagal šią temą:
  • Formatas: Hardback, 546 pages, aukštis x plotis x storis: 254x178x30 mm, weight: 1180 g, Worked examples or Exercises; 24 Tables, unspecified; 205 Halftones, unspecified
  • Išleidimo metai: 08-Apr-2013
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1107012945
  • ISBN-13: 9781107012943
Kitos knygos pagal šią temą:
The third edition of this classic text introduces key theoretical principles of general relativity to upper-level undergraduate and graduate students. It provides an overview of Newton's gravitational theory, explains special relativity and the relativistic theory of gravitation, and surveys the most recent experimental and observational data.

The third edition of this classic textbook is a quantitative introduction for advanced undergraduates and graduate students. It gently guides students from Newton's gravitational theory to special relativity, and then to the relativistic theory of gravitation. General relativity is approached from several perspectives: as a theory constructed by analogy with Maxwell's electrodynamics, as a relativistic generalization of Newton's theory, and as a theory of curved spacetime. The authors provide a concise overview of the important concepts and formulas, coupled with the experimental results underpinning the latest research in the field. Numerous exercises in Newtonian gravitational theory and Maxwell's equations help students master essential concepts for advanced work in general relativity, while detailed spacetime diagrams encourage them to think in terms of four-dimensional geometry. Featuring comprehensive reviews of recent experimental and observational data, the text concludes with chapters on cosmology and the physics of the Big Bang and inflation.

Recenzijos

'A most welcome updated third edition of this splendid textbook on gravitation and spacetime, which provides an excellent introduction to the mathematical and physical foundations underlying our current understanding of the physics and astrophysics of neutron stars, black holes, and gamma ray bursts.' Riccardo Giacconi, Nobel Laureate and University Professor, Johns Hopkins University 'This is by far the best grad[ uate] level text in gravitational physics. It starts by showing that the natural Lorentz invariant generalisation of Newton's scalar potential is a tensor, a perturbation of the usual Lorentz metric. The equivalence principle is then used to derive the full equations of GR. The last half of the book gives a beautiful treatment of black holes and the current model of Big Bang cosmology.' Roy P. Kerr, Professor Emeritus, University of Canterbury, Christchurch 'The third edition of this wonderful book combines even more perfectly than the previous editions the beauty of Einstein's General Relativity with the physics of stars, galaxies, and the cosmos. It manages to do this in only 500 pages in a pedagogical masterpiece that should be a must for any graduate student in theoretical physics.' Hagen Kleinert, Freie Universität Berlin and ICRANet Review of the first edition: 'The best book on the market today of 500 pages or less on gravitation and general relativity.' John Wheeler, Princeton University 'I wish I had owned this book when I was trying to teach myself General Relativity for the first time.' The Observatory

Daugiau informacijos

This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.
Preface ix
Constants xiii
Notation xv
1 Newton's gravitational theory
1(46)
1.1 The law of universal gravitation
1(3)
1.2 Tests of the inverse-square law
4(7)
1.3 Gravitational potential
11(2)
1.4 Gravitational multipoles; quadrupole moment of the Sun
13(4)
1.5 Inertial and gravitational mass
17(2)
1.6 Tests of equality of gravitational and inertial mass
19(10)
1.7 Tidal forces
29(5)
1.8 Tidal field as a local measure of gravitation
34(8)
Problems
42(3)
References
45(2)
2 The formalism of special relativity
47(48)
2.1 The spacetime of special relativity
48(7)
2.2 Tensors in spacetime
55(7)
2.3 Tensor fields
62(2)
2.4 Energy-momentum tensor
64(7)
2.5 Relativistic electrodynamics
71(5)
2.6 Differential forms and exterior calculus
76(11)
Problems
87(7)
References
94(1)
3 The linear approximation
95(32)
3.1 The example of electromagnetism
95(6)
3.2 Linear field equations for gravitation
101(5)
3.3 Variational principle and equation of motion
106(6)
3.4 Nonrelativistic limit and Newton's theory
112(5)
3.5 Geometric interpretation; curved spacetime
117(6)
Problems
123(3)
References
126(1)
4 Applications of the linear approximation
127(55)
4.1 Field of a spherical mass
127(3)
4.2 Gravitational time dilation
130(8)
4.3 Deflection of light
138(4)
4.4 Time delay of light
142(7)
4.5 Gravitational lenses
149(10)
4.6 Optics of gravitational lenses
159(5)
4.7 Field of a rotating mass; Lense-Thirring effect
164(6)
Problems
170(10)
References
180(2)
5 Gravitational waves
182(39)
5.1 Plane waves
182(5)
5.2 Interaction of particles with a gravitational wave
187(4)
5.3 Emission of gravitational radiation
191(5)
5.4 Emission by a vibrating quadrupole
196(3)
5.5 Emission by a rotating quadrupole
199(5)
5.6 Emission of bursts of gravitational radiation
204(4)
5.7 Detectors of gravitational radiation
208(7)
Problems
215(5)
References
220(1)
6 Riemannian geometry
221(54)
6.1 General coordinates and tensors
223(3)
6.2 Parallel transport; covariant derivative
226(6)
6.3 Geodesic equation
232(4)
6.4 Metric tensor
236(7)
6.5 Riemann curvature tensor
243(9)
6.6 Geodesic deviation and tidal forces; Fermi-Walker transport
252(5)
6.7 Differential forms in curved spacetime
257(5)
6.8 Isometries of spacetime; Killing vectors
262(6)
Problems
268(6)
References
274(1)
7 Einstein's gravitational theory
275(49)
7.1 General covariance and invariance; gauge transformations
276(8)
7.2 Einstein's field equation
284(4)
7.3 Another approach to Einstein's equation; cosmological term
288(5)
7.4 Schwarzschild solution and Birkhoff theorem
293(6)
7.5 Motion of planets; perihelion precession
299(6)
7.6 Propagation of light; gravitational redshift
305(4)
7.7 Geodetic precession
309(8)
Problems
317(5)
References
322(2)
8 Black holes and gravitational collapse
324(65)
8.1 Singularities and pseudosingularities
325(4)
8.2 The black hole and its horizon
329(6)
8.3 Maximal Schwarzschild geometry
335(8)
8.4 Kerr solution and Reissner-Nordstrøm solution
343(6)
8.5 Horizons and singularities of the rotating black hole
349(7)
8.6 Maximal Kerr geometry
356(4)
8.7 Black-hole thermodynamics; Hawking process
360(7)
8.8 Gravitational collapse and formation of black holes
367(8)
8.9 In search of black holes
375(6)
Problems
381(6)
References
387(2)
9 Cosmology
389(55)
9.1 Large-scale structure of the universe
390(2)
9.2 Cosmic distances
392(2)
9.3 Expansion of the universe; Hubble's law
394(7)
9.4 Age of the universe
401(3)
9.5 Cosmic background radiation
404(4)
9.6 Mass density; dark mass
408(3)
9.7 Comoving coordinates; Robertson-Walker geometry
411(7)
9.8 Friedmann models (ρ ≠ 0, Λ = 0)
418(6)
9.9 Empty Lemaitre models (ρ = 0, Λ ≠ 0)
424(2)
9.10 Friedmann-Lemaitre models (ρ ≠ 0: Λ ≠ 0)
426(2)
9.11 Propagation of light; particle horizon
428(6)
9.12 Comparison of theory and observation
434(3)
Problems
437(5)
References
442(2)
10 The early universe
444(33)
10.1 Temperature of the early universe
445(6)
10.2 Nucleosynthesis; abundance of primordial helium
451(5)
10.3 Density perturbations; Jeans mass
456(6)
10.4 Inflationary model
462(11)
Problems
473(3)
References
476(1)
Appendix: Variational principle and energy-momentum tensor
477(20)
A.1 Lagrange equations for a system of particles
477(2)
A.2 Lagrange equations for fields
479(3)
A.3 Energy-momentum tensor
482(4)
A.4 Variational principle for Einstein's equations
486(5)
A.5 Flux theorem and its implications for gravitational and inertial mass
491(5)
References
496(1)
Answers to even-numbered problems 497(6)
Index 503
Hans C. Ohanian received his BS from the University of California, Berkeley, and his PhD from Princeton University, where he worked with John A. Wheeler. He has taught at Rensselaer Polytechnic Institute, the University of Vermont, and in summer courses at UNED in Spain. He has published several textbooks in addition to Gravity and Spacetime, including Classical Electrodynamics and Principles of Quantum Mechanics, as well as articles on various aspects of relativity and quantum theory. Remo Ruffini is the Chair of Theoretical Physics at the University of Rome, where he received his PhD, and has also taught at Princeton University. He is an editor of the International Journal of Modern Physics and has acted as an advisor to NASA and the Italian Space Agency. In addition to Gravitation and Spacetime, his published works include Cosmology from Space Platforms, Black Holes, Gravitational Waves and Cosmology, Basic Concepts in Relativistic Astrophysics, Gamow Cosmology and various articles and edited volumes.