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  Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings

Korzynski, M. (2010). Coarse-graining of inhomogeneous dust flow in General Relativity via isometric embeddings. AIP Conference Proceedings, 1241, 973-980.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-69D1-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-69D4-5
Genre: Conference Paper

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1001.2031 (Preprint), 188KB
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 Creators:
Korzynski, Mikolaj1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We present a new approach to coarse-graining of variables describing dust flow in GR. It is based on assigning quasi-local shear, twist and expansion to 2-dimensional surfaces with the help of isometric embeddings into the 3-dimensional Euclidean space and deriving the time evolution equations for them. In contrast to the popular Buchert's scheme it allows to coarse-grain tensorial quantities in a coordinate-independent way. The framework can be used to estimate backreaction in inhomogeneous cosmological models.

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 Dates: 2010-01-132010
 Publication Status: Published in print
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 Identifiers: arXiv: 1001.2031
URI: http://arxiv.org/abs/1001.2031
DOI: 10.1063/1.3462743
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Title: Invisible Universe
Place of Event: Paris
Start-/End Date: 2009-06-29 - 2009-07-03

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Title: AIP Conference Proceedings
Source Genre: Journal
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Pages: - Volume / Issue: 1241 Sequence Number: - Start / End Page: 973 - 980 Identifier: -