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An introduction to general relativity and cosmology / Jerzy Plebański, Andrzej Krasiński.

By: Contributor(s): Publication details: Cambridge, UK ; New York : Cambridge University Press, c2006.Description: xix, 534 p. : ill. ; 26 cmISBN:
  • 052185623X (hbk.)
  • 9780521856232
Subject(s): DDC classification:
  • 530.11 22 PLE
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Item type Current library Call number Copy number Status Date due Barcode
Book Open Access Book Open Access Engineering Library 530.11 PLE (Browse shelf(Opens below)) 1 Available BUML23111791



CONTENT

1. How the theory of relativity came into being (a brief historical sketch)

Part I. Elements of Differential Geometry
2. A short sketch of two-dimensional differential geometries
3. Tensors, tensor densities
4. Covariant derivatives
5. Parallel transport and geodesic lines
6. Curvature of a manifold: flat manifolds
7. Riemannian geometry
8. Symmetries of Rieman spaces, invariance of tensors
9. Methods to calculate the curvature quickly - Cartan forms and algebraic computer programs
10. The spatially homogeneous Bianchi-type spacetimes
11. The Petrov classification by the spinor method

Part II. The Gravitation Theory:
12. The Einstein equations and the sources of a gravitational field
13. The Maxwell - and Einstein-Maxwell equations and the Kaluza-Klein theory
14. Spherically symmetric gravitational field of isolated objects
15. Relativistic hydrodynamics and thermodynamics
16. Relativistic cosmology I: general geometry
17. Relativistic cosmology II: the Robertson-Walker geometry
18. Relativistic cosmology III: the Lemaître-Tolman geometry
19. Relativistic cosmology IV: generalisations of L-T and related geometries
20. The Kerr solution
21. Subjects omitted in this book.

Includes bibliographical references (p. 501-517) and index.

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