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https://hdl.handle.net/1822/27786
Título: | Review on exact and perturbative deformations of the Einstein-Straus model : uniqueness and rigidity results |
Autor(es): | Mena, Filipe C. Mars, Marc Vera, Raul |
Palavras-chave: | Einstein-Straus model Voids Inhomogeneous cosmology Influence of expansion in local systems Matching of spacetimes Static regions in FLRW Stationary and axisymmetric regions in FLRW Static regions in LRS Perturbed matching theory Perturbed Einstein-Straus model Stationary and axisymmetric perturbations of Schwarzschild FLRW perturbations |
Data: | 1-Out-2013 |
Editora: | Springer Verlag |
Revista: | General Relativity and Gravitation |
Resumo(s): | The Einstein-Straus model consists of a Schwarzschild spherical vacuole in a Friedman-Lema^ tre-Robertson-Walker (FLRW) dust spacetime (with or without ). It constitutes the most widely accepted model to answer the question of the in uence of large scale (cosmological) dynamics on local systems. The conclusion drawn by the model is that there is no in uence from the cosmic background, since the spher- ical vacuole is static. Spherical generalizations to other interior matter models are commonly used in the construction of lumpy inhomogeneous cosmological models. On the other hand, the model has proven to be reluctant to admit non-spherical generalizations. In this review, we summarize the known uniqueness results for this model. These seem to indicate that the only reasonable and realistic non- spherical deformations of the Einstein-Straus model require perturbing the FLRW background. We review results about linear perturbations of the Einstein-Straus model, where the perturbations in the vacuole are assumed to be stationary and axially symmetric so as to describe regions (voids in particular) in which the matter has reached an equilibrium regime. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/27786 |
DOI: | 10.1007/s10714-013-1574-1 |
ISSN: | 0001-7701 1572-9532 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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1307.4371v1.pdf | 644,34 kB | Adobe PDF | Ver/Abrir |