An Introduction to General Relativity and Cosmology

Capa
Cambridge University Press, 14 de ago de 2006
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 in this book they 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. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.
 

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Conteúdo

How the theory of relativity came into being a brief historical sketch
1
A short sketch of 2dimensional differential geometry
9
Covariant derivatives
26
Parallel transport and geodesic lines
33
Riemannian geometry
48
Symmetries of Riemann spaces invariance of tensors
74
Methods to calculate the curvature quickly Cartan forms and algebraic
94
The Petrov classification by the spinor method
113
Spherically symmetric gravitational fields of isolated objects
168
with e2 m2
217
general geometry
235
the RobertsonWalker geometry
261
the LemaîtreTolman geometry
294
generalisations of LT and related geometries
367
The Kerr solution
438
Subjects omitted from this book
498

The Einstein equations and the sources of a gravitational field
125
The Maxwell and EinsteinMaxwell equations and
161

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