An Introduction to General Relativity and Cosmology
by Plebanski, Jerzy; Krasinski, AndrzejFormat: Paperback
Pub. Date: 2012-09-13
Publisher(s): Cambridge Univ Pr
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Summary
General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. Many topics are included that are not found in other textbooks.
Table of Contents
| How the theory of relativity came into being (a brief historical sketch) | |
| Elements of Differential Geometry | |
| A short sketch of two-dimensional differential geometries | |
| Tensors, tensor densities | |
| Covariant derivatives | |
| Parallel transport and geodesic lines | |
| Curvature of a manifold: flat manifolds | |
| Riemannian geometry | |
| Symmetries of Rieman spaces, invariance of tensors | |
| Methods to calculate the curvature quickly - Cartan forms and algebraic computer programs | |
| The spatially homogeneous Bianchi-type spacetimes | |
| The Petrov classification by the spinor method | |
| The Gravitation Theory | |
| The Einstein equations and the sources of a gravitational field | |
| The Maxwell and Einstein-Maxwell equations and the Kaluza-Klein theory | |
| Spherically symmetric gravitational field of isolated objects | |
| Relativistic hydrodynamics and thermodynamics | |
| Relativistic cosmology I: general geometry | |
| Relativistic cosmology II: the Robertson-Walker geometry | |
| Relativistic cosmology III: the Lemaître-Tolman geometry | |
| Relativistic cosmology IV: generalisations of L-T and related geometries | |
| The Kerr solution | |
| Subjects omitted in this book | |
| References | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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