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A complete cosmological solution to the averaged Einstein field equations as found in macroscopic gravity

J. Math. Phys. 50, 082503 (2009); doi:10.1063/1.3193686

Published 25 August 2009

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R. J. van den Hoogen
Department of Mathematics, Statistics, and Computer Science, St. Francis Xavier University, Antigonish, Nova Scotia B2G 2W5, Canada
A formalism for analyzing the complete set of field equations describing macroscopic gravity is presented. Using this formalism, a cosmological solution to the macroscopic gravity equations is determined. It is found that if a particular segment of the connection correlation tensor is zero and if the macroscopic geometry is described by a flat Robertson–Walker metric, then the effective correction to the averaged Einstein field equations of general relativity i.e., the backreaction, is equivalent to a positive spatial curvature term. This investigation completes the analysis of Coley et al. [Phys. Rev. Lett. 95, 151102 (2005)], and the formalism developed provides a possible basis for future studies. ©2009 American Institute of Physics
History: Received 22 May 2009; accepted 10 July 2009; published 25 August 2009
Permalink: http://link.aip.org/link/?JMAPAQ/50/082503/1
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KEYWORDS and PACS

Keywords
PACS
  • 98.80.Jk
    Mathematical and relativistic aspects of cosmology
  • 95.30.Sf
    Relativity and gravitation in astrophysics
  • 04.20.Jb
    Exact solutions in general relativity
  • YEAR: 2009

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ISSN:
0022-2488 (print)   1089-7658 (online)
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