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arXiv · 0909.0070

A Complete Cosmological Solution to the Averaged Einstein Field Equations as found in Macroscopic Gravity

R. J. van den Hoogen
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Abstract

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 [Phys. Rev. Lett., vol. 95, 151102, (2005)] and the formalism developed provides a possible basis for future studies.

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R. J. van den Hoogen. 2009-09-01. A Complete Cosmological Solution to the Averaged Einstein Field Equations as found in Macroscopic Gravity. https://doi.org/10.1063/1.3193686

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