Induced Gravity in Deconstructed Space at Finite Temperature -- Self-consistent Einstein Universe

Abstract

We study self-consistent cosmological solutions for an Einstein Universe in a graph-based induced gravity model. The graph-based field theory has been proposed by the present authors to generalize dimensional deconstruction. In this paper, we consider self-consistent Einstein equations for a ``graph theory space''. Especially, we demonstrate specific results for cycle graphs.

4 pages, 2 figures. A presentation given at JGRG17 (Nagoya, Japan), to appear in the proceedings