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

Korzynski, Mikolaj

doi:10.1063/1.3462743

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

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Korzynski, Mikolaj
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1001.2031
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AIPConf1241.pdf
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Citation

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

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-69D1-B

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.