Gravitation and SpacetimeCambridge University Press, 8 de abr. de 2013 - 528 páginas 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. |
Conteúdo
The formalism of special relativity | 47 |
The linearapproximation | 95 |
Applications of the linear approximation | 127 |
Gravitational waves | 182 |
Riemannian geometry | 221 |
Einsteins gravitational theory | 275 |
Cosmology | 389 |
The early universe | 444 |
Variational principle and energymomentum tensor | 477 |
Answers to evennumbered problems | 497 |
| 503 | |
Outras edições - Ver todos
Termos e frases comuns
acceleration angular momentum baryon black hole calculation Christoffel symbols clock components constant coordinate transformation cosmological covariant derivative curvature curved spacetime defined definition deflection differential distance early universe Earth Einstein equations electric field electromagnetic field emitted energy-momentum tensor equation of motion Exercise expression field equation final find finite first fixed flat spacetime fluctuations flux frequency function galaxies gauge geodesic coordinates gravitational field gravitational radiation gravitational time dilation gravitational wave Hence horizon inertial infinite integral invariance Lagrangian light signal Lorentz transformations mass density mass distribution measured metric tensor neutron star Newton’s Newtonian observer obtain ofthe parallel transport parameter particle photons Phys potential precession quadrupole radius redshift reference frame relativistic relativity result Riemann tensor rotating satisfies scalar Schwarzschild geometry Show side of Eq singularity solution space spacetime interval speed spherical spin surface symmetry temperature theory tidal force vector velocity worldline zero