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...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge ; New York :
Cambridge University Press,
2006.
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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.