A stable static Universe?
Abstract
Starting from the assumption that general relativity might be an emergent phenomenon showing up at low-energies from an underlying microscopic structure, we re-analyze the stability of a static closed Universe filled with radiation. In this scenario, it is sensible to consider the effective general-relativistic configuration as in a thermal contact with an "environment" (the role of environment can be played, for example, by the higher-dimensional bulk or by the trans-Planckian degrees of freedom). We calculate the free energy at a fixed temperature of this radiation-filled static configuration. Then, by looking at the free energy we show that the static Einstein configuration is stable under the stated condition.
Keywords
Cite
@article{arxiv.gr-qc/0405105,
title = {A stable static Universe?},
author = {Carlos Barcelo and Grigory Volovik},
journal= {arXiv preprint arXiv:gr-qc/0405105},
year = {2009}
}
Comments
6 pages, no figures; uses revtex4; version accepted for publication; some phrasing changed; wrong coefficient corrected