English

Accelerating Universe via Spatial Averaging

General Relativity and Quantum Cosmology 2007-05-23 v1 Astrophysics

Abstract

We present a model of an inhomogeneous universe that leads to accelerated expansion after taking spatial averaging. The model universe is the Tolman-Bondi solution of the Einstein equation and contains both a region with positive spatial curvature and a region with negative spatial curvature. We find that after the region with positive spatial curvature begins to re-collapse, the deceleration parameter of the spatially averaged universe becomes negative and the averaged universe starts accelerated expansion. We also discuss the generality of the condition for accelerated expansion of the spatially averaged universe.

Keywords

Cite

@article{arxiv.gr-qc/0507057,
  title  = {Accelerating Universe via Spatial Averaging},
  author = {Yasusada Nambu and Masayuki Tanimoto},
  journal= {arXiv preprint arXiv:gr-qc/0507057},
  year   = {2007}
}

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4 pages