An Introduction to General Relativity and Cosmology

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  • Format: Paperback
  • Copyright: 2012-09-13
  • Publisher: Cambridge Univ Pr
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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
Table of Contents provided by Publisher. All Rights Reserved.

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