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Scalar curvature of spacelike hypersurfaces and certain class of cosmological models for accelerated expanding universes

2015/11/04 by Juan A. Aledo, Rafael M. Rubio · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1016/j.geomphys.2016.02.005

arXiv admin note: text overlap with arXiv:1503.00120

arxiv created 2015/11/04 · arxiv updated 2016/03/23

Abstract

We study the scalar curvature of spacelike hypersurfaces in the family of cosmological models known as generalized Robertson-Walker spacetimes, and give several rigidity results under appropriate mathematical and physical assumptions. On the other hand, we show that this family of spacetimes provides suitable models obeying the null convergence condition to explain accelerated expanding universes.

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