An introduction to general relativity and cosmology [EBook] / Jerzy Plebański, Andrzej Krasiński.
An introduction to general relativity and cosmology [EBook] / Jerzy Plebański, Andrzej Krasiński.
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 th...
Personal Name(s):  Plebański, Jerzy, (author) 

Krasiński, Andrzej, (author)  
Imprint: 
Cambridge :
Cambridge University Press,
2006

Physical Description: 
1 online resource (xix, 534 pages) 
Note: 
englisch 
ISBN: 
9780511617676 9781107407367 9780521856232 
Subject (LOC):  
Full Text 
Table of Contents:
 How the theory of relativity came into being (a brief historical sketch)
 Part I. Elements of differential geometry. A short sketch of 2dimensional differential geometry ; Tensors, tensor densities ; Covariant derivatives ; Parallel transport and geodesic lines ; The curvature of a manifold, flat manifolds ; Riemannian geometry ; Symmetries of Riemann 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
 Part II. The theory of gravitation. The Einstein equations and the sources of a gravitational field ; The Maxwell and Einstein : Maxwell equations and the KaluzaKlein theory ; Spherically symmetric gravitational fields of isolated objects ; Relativistic hydrodynamics and thermodynamics ; Relativistic cosmology I : general geometry ; Relativistic cosmology II : the RobertsonWalker geometry ; Relativistic cosmology III : the LemaîtreTolman geometry ; Relativistic cosmology IV : generalisations of LT and related geometries ; The Kerr solution ; Subjects omitted from this book.