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An introduction to general relativity and cosmology /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Plebański, Jerzy
Otros Autores: Krasiński, Andrzej
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2006.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • How the theory of relativity came into being (a brief historical sketch)
  • Elements of differential geometry
  • A short sketch of 2-dimensional 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
  • The theory of gravitation
  • The Einstein equations and the sources of a gravitational field
  • The Maxwell and Einstein-Maxwell equations and the Kaluza-Klein theory
  • Spherically symmetric gravitational fields of isolated objects
  • Relativistic hydrodynamics and thermodynamics
  • Relativistic cosmology I : general geometry
  • Relativistic cosmology II : the Robertson-Walker geometry
  • Relativistic cosmology III : the Lemaître-Tolman geometry
  • Relativistic cosmology IV : generalisations of L-T and related geometries
  • The Kerr solution
  • Subjects omitted from this book.