An Introduction to General Relativity and Cosmology de Andrzej Krasinski

An Introduction to General Relativity and Cosmology

Andrzej Krasinski

Jerzy Plebanski

Experts Plebanski and Krasinski provide a thorough introduction to the tools of general relativity and relativistic cosmology, guiding advanced students through complete derivations of the results. Starting with a short course on differential geometry, the main text describes relativity as a physical theory.

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	Preț	Express
Paperback (1)	481^.34 lei 6-8 săpt.
Cambridge University Press – 12 sep 2012	481^.34 lei 6-8 săpt.
Hardback (1)	500^.89 lei 6-8 săpt.
Cambridge University Press – 12 mai 2024	500^.89 lei 6-8 săpt.

Preț

Express

Paperback (1)

481^.34 lei 6-8 săpt.

Cambridge University Press – 12 sep 2012

481^.34 lei 6-8 săpt.

Hardback (1)

500^.89 lei 6-8 săpt.

Cambridge University Press – 12 mai 2024

500^.89 lei 6-8 săpt.

Notă biografică

Jerzy Plebański (1928-2005) was a Polish theoretical physicist best known for his extensive research into general relativity, nonlinear electrodynamics and mathematical physics. He split his time between Warsaw, Poland, and Mexico, his permanent residence from the mid-1970s onwards. He is remembered, among other things, for defining the algebraic classification of the tensor of matter, for finding new solutions of the Einstein equations (for example, the Plebański-Demiański metric), formulation of the heavenly equations and the effective field theory relating GR and supergravity, known as Plebański action. The first part of the book is developed from Plebański's lecture notes.

Cuprins

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; References.

Recenzii

'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