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Author Ohanian, Hans C
Title Gravitation and Spacetime
Imprint Cambridge : Cambridge University Press, 2013
©2013
book jacket
Edition 3rd ed
Descript 1 online resource (546 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- Contents -- Preface -- Constants -- Fundamental constants -- Conversion constants -- Astronomical constants -- Notation -- 1 Newton's gravitational theory -- 1.1 The law of universal gravitation -- 1.2 Tests of the inverse-square law -- 1.3 Gravitational potential -- 1.4 Gravitational multipoles -- quadrupole moment of the Sun -- 1.5 Inertial and gravitational mass -- 1.6 Tests of equality of gravitational and inertial mass -- 1.7 Tidal forces -- 1.8 Tidal field as a local measure of gravitation -- Problems -- 2 The formalism of special relativity -- 2.1 The spacetime of special relativity -- 2.2 Tensors in spacetime -- 2.3 Tensor fields -- 2.4 Energy-momentum tensor -- 2.5 Relativistic electrodynamics -- 2.6 Differential forms and exterior calculus -- Problems -- 3 The linear approximation -- 3.1 The example of electromagnetism -- 3.2 Linear field equations for gravitation -- 3.3 Variational principle and equation of motion -- 3.4 Nonrelativistic limit and Newton's theory -- 3.5 Geometric interpretation -- curved spacetime -- Problems -- 4 Applications of the linear approximation -- 4.1 Field of a spherical mass -- 4.2 Gravitational time dilation -- 4.3 Deflection of light -- 4.4 Time delay of light -- 4.5 Gravitational lenses -- 4.6 Optics of gravitational lenses -- 4.7 Field of a rotating mass -- Lense-Thirring effect -- Problems -- 5 Gravitational waves -- 5.1 Plane waves -- 5.2 Interaction of particles with a gravitational wave -- 5.3 Emission of gravitational radiation -- 5.4 Emission by a vibrating quadrupole -- 5.5 Emission by a rotating quadrupole -- 5.6 Emission of bursts of gravitational radiation -- 5.7 Detectors of gravitational radiation -- Problems -- 6 Riemannian geometry -- 6.1 General coordinates and tensors -- 6.2 Parallel transport -- covariant derivative -- 6.3 Geodesic equation -- 6.4 Metric tensor
6.5 Riemann curvature tensor -- 6.6 Geodesic deviation and tidal forces -- Fermi-Walker transport -- 6.7 Differential forms in curved spacetime -- 6.8 Isometries of spacetime -- Killing vectors -- Problems -- 7 Einstein's gravitational theory -- 7.1 General covariance and invariance -- gauge transformations -- 7.2 Einstein's field equation -- 7.3 Another approach to Einsteins equation -- cosmological term -- 7.4 Schwarzschild solution and Birkhoff theorem -- 7.5 Motion of planets -- perihelion precession -- 7.6 Propagation of light -- gravitational redshift -- 7.7 Geodetic precession -- Problems -- 8 Black holes and gravitational collapse -- 8.1 Singularities and pseudosingularities -- 8.2 The black hole and its horizon -- 8.3 Maximal Schwarzschild geometry -- 8.4 Kerr solution and Reissner-Nordstrøm solution -- 8.5 Horizons and singularities of the rotating black hole -- 8.6 Maximal Kerr geometry -- 8.7 Black-hole thermodynamics -- Hawking process -- 8.8 Gravitational collapse and formation of black holes -- 8.9 In search of black holes -- Problems -- 9 Cosmology -- 9.1 Large-scale structure of the universe -- 9.2 Cosmic distances -- 9.3 Expansion of the universe -- Hubble's law -- 9.4 Age of the universe -- 9.5 Cosmic background radiation -- 9.6 Mass density -- dark mass -- 9.7 Comoving coordinates -- Robertson-Walker geometry -- 9.8 Friedmann models () -- 9.9 Empty Lemaître models () -- 9.10 Friedmann-Lemaître models () -- 9.11 Propagation of light -- particle horizon -- 9.12 Comparison of theory and observation -- Problems -- 10 The early universe -- 10.1 Temperature of the early universe -- 10.2 Nucleosynthesis -- abundance of primordial helium -- 10.3 Density perturbations -- Jeans mass -- 10.4 Inflationary model -- Problems -- Appendix: Variational principle and energy-momentum tensor -- A.1 Lagrange equations for a system of particles
A.2 Lagrange equations for fields -- A.3 Energy-momentum tensor -- A.4 Variational principle for Einsteins equations -- A.5 Flux theorem and its implications for gravitational and inertial mass -- Answers to even-numbered problems -- Chapter 1 -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Chapter 8 -- Chapter 9 -- Chapter 10 -- Index
This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Ohanian, Hans C. Gravitation and Spacetime Cambridge : Cambridge University Press,c2013 9781107012943
Subject Gravitation.;Space and time
Electronic books
Alt Author Ruffini, Remo
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