General Relativity: An Introduction for PhysicistsGeneral Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text. |
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Table des matières
Manifolds and coordinates | 26 |
Vector calculus on manifolds | 53 |
Tensor calculus on manifolds | 92 |
Exercises | 108 |
Exercises | 131 |
Exercises | 145 |
The gravitational field equations | 176 |
The Schwarzschild geometry | 196 |
Exercises | 305 |
The Kerr geometry | 310 |
The FriedmannRobertsonWalker geometry | 355 |
Cosmological models | 386 |
Inflationary cosmology | 428 |
Linearised general relativity | 467 |
Gravitational waves | 498 |
A variational approach to general relativity | 524 |
Experimental tests of general relativity | 230 |
Schwarzschild black holes | 248 |
Further spherically symmetric geometries | 288 |
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Expressions et termes fréquents
4-velocity angular momentum basis vectors black hole Cartesian coordinates Cartesian inertial Chapter circular orbit comoving connection coefficients consider constant contravariant components coordinate radius coordinate transformation corresponding cosmic covariant components covariant derivative curvature tensor curve defined denote density differential discussion distance Eddington-Finkelstein coordinates Einstein electromagnetic field emitted energy energy-momentum tensor equation of motion equatorial plane ergoregion Euclidean space event horizon example expression field equations Figure function galaxy geodesic equations given gravitational field gravitational wave Hence show Hubble inertial frame inflation integral Kerr Kerr metric Lagrangian line element linearised manifold mass massive particle metric tensor Minkowski spacetime Newtonian non-zero null observer obtain perturbation photon physical radial redshift region relativistic respect result Ricci tensor rotating satisfy scalar field scale factor Schwarzschild geometry Schwarzschild metric Section sin2 singularity solution spacelike spherical stationary surface symmetric theory timelike trajectory universe variation velocity worldline zero
Informations bibliographiques
| Titre | General Relativity: An Introduction for Physicists |
| Auteurs | M. P. Hobson, G. P. Efstathiou, A. N. Lasenby |
| Édition | illustrée, réimprimée |
| Éditeur | Cambridge University Press, 2006 |
| ISBN | 0521829518, 9780521829519 |
| Longueur | 572 pages |
| Exporter la citation | BiBTeX EndNote RefMan |