Document details

Review on exact and perturbative deformations of the Einstein-Straus model : un...

Author(s): Mena, Filipe C. cv logo 1 ; Mars, Marc cv logo 2 ; Vera, Raul cv logo 3

Date: 2013

Persistent ID: http://hdl.handle.net/1822/27786

Origin: RepositóriUM - Universidade do Minho


Description
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.
Document Type Article
Language English
delicious logo  facebook logo  linkedin logo  twitter logo 
degois logo
mendeley logo

Related documents



    Financiadores do RCAAP

Fundação para a Ciência e a Tecnologia Universidade do Minho   Governo Português Ministério da Educação e Ciência Programa Operacional da Sociedade do Conhecimento EU