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VOLUME 80 | ISSUE 4 | PAGE 239
A stable static Universe?
C. Barceló, G. E. Volovik+ 1)
Instituto de Astrofísica de Andalucía, 18008 Granada, Spain
+Low Temperature Laboratory, Helsinki University of Technology, Box 2200, FIN-02015 HUT, Finland
and L. D. Landau Institute for Theoretical Physics, 117334 Moscow, Russia


PACS: 03.75.Fi, 04.70.Dy, 04.80.-y
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.


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