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          Institute: MPI für Gravitationsphysik     Collection: Geometric Analysis and Gravitation     Display Documents



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ID: 2725.0, MPI für Gravitationsphysik / Geometric Analysis and Gravitation
On the uniqueness of the Einstein-Straus model
Authors:Mars, Marc
Language:English
Date of Publication (YYYY-MM-DD):2001
Title of Journal:Classical and Quantum Gravity
Volume:18
Start Page:3645
End Page:3663
Review Status:not specified
Audience:Not Specified
Abstract / Description:We show that the Einstein-Straus model does not give a robust answer to the problem of the influence of the cosmic expansion on the local physics. This is done by finding the most general static region embeddable in a Friedman-Lemaitre-Robertson-Walker expanding cosmology and showing that the model must be almost spherically symmetric. More precisely, we show that the boundary of the static region must be a two-sphere at each instant of cosmic time. The motion of this two-sphere in spacetime is as follows: its would-be center (if there was no static region) moves along a path whose projection on any 3-space of constant cosmic time is a geodesic with respect to the induced 3-metric. The velocity of this geodesic is determined from the matching. In particular, this center must be at rest with respect to the cosmologic flow (thus giving a spherically symmetric model) when any of the standard energy-momentum tensors inside the static region is imposed.
External Publication Status:published
Document Type:Article
Communicated by:Gerhard Huisken
Affiliations:MPI für Gravitationsphysik/Geometric Analysis and Gravitation
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