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Introduction to General Relativity and Cosmology [Minkštas viršelis]

4.00/5 (4 ratings by Goodreads)
(Instituto Politécnico Nacional, Mexico), (Polish Academy of Sciences)
  • Formatas: Paperback / softback, 558 pages, aukštis x plotis x storis: 244x170x29 mm, weight: 880 g
  • Išleidimo metai: 13-Sep-2012
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1107407362
  • ISBN-13: 9781107407367
Kitos knygos pagal šią temą:
Introduction to General Relativity and CosmologyDidesnis paveikslėlis
  • Formatas: Paperback / softback, 558 pages, aukštis x plotis x storis: 244x170x29 mm, weight: 880 g
  • Išleidimo metai: 13-Sep-2012
  • Leidėjas: Cambridge University Press
  • ISBN-10: 1107407362
  • ISBN-13: 9781107407367
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9781107407367.html
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 2006 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.

Recenzijos

'In the time-honoured tradition of many books from CUP, An Introduction to General Relativity and Cosmology cannot really be described as an introduction at all. an excellent high-level textbook that includes a number of topics that are not readily to be found elsewhere. I recommend it very highly for students who have studied General Relativity already (perhaps having read a real 'introductory' book), and who would like to gain a deeper mathematical insight into the subject. For anyone looking for a thorough mathematical treatment of General Relativity, or for a supplement to existing books, this is highly recommended. It is not a standard text by any means, but I would be surprised if there was anyone who didn't find in it something new, interesting, and enlightening.' The Observatory

Daugiau informacijos

This book is a thorough introduction to general relativity for advanced students, including complete derivations of important results.
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 Lemaītre-Tolman geometry;
19. Relativistic
cosmology IV: generalisations of L-T and related geometries;
20. The Kerr
solution;
21. Subjects omitted in this book; References.