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  Einstein Equations: Exact Solutions

Bicak, J. (2006). Einstein Equations: Exact Solutions. In J.-P. Francoise, G. Naber, & T. Tsun (Eds.), Encyclopedia of Mathematical Physics Vol.2 (pp. 165-173). Oxford: Elsevier.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-4B78-7 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-6ED2-6
Genre: Book Chapter

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0604102.pdf (Preprint), 201KB
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 Creators:
Bicak, Jiri1, Author              
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24008              

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 Abstract: In Einstein's general relativity, with its nonlinear field equations, the discoveries and analyzes of various specific explicit solutions made a great impact on understanding many of the unforeseen features of the theory. Some solutions found fundamental applications in astrophysics, cosmology and, more recently, in the developments inspired by string theory. In this short article we survey the invariant characterization and classification of the solutions and describe the properties and role of the most relevant classes: Minkowski, (anti-)de Sitter spacetimes, spherical Schwarzschild and Reissner-Nordstroem metrics, stationary axisymmetric solutions, radiative metrics describing plane and cylindrical waves, radiative fields of uniformly accelerated sources and Robinson-Trautman solutions. Metrics representing regions of spacetimes filled with matter are also discussed and cosmological models are very briefly mentioned. Some parts of the text are based on a detailed survey which appeared in gr-qc/0004016 (see Ref. 2).

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Language(s): eng - English
 Dates: 2006
 Publication Status: Published in print
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 Identifiers: eDoc: 246597
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Title: Encyclopedia of Mathematical Physics Vol.2
Source Genre: Book
 Creator(s):
Francoise, J.-P., Editor
Naber, G., Editor
Tsun, T.S., Editor
Affiliations:
-
Publ. Info: Oxford : Elsevier
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 165 - 173 Identifier: -