Emergent Einstein Universe under Deconstruction
Nahomi Kan (Yamaguchi Junior College), Kiyoshi Shiraishi (Yamaguchi, University)

TL;DR
This paper investigates static Einstein universe solutions within a graph-based induced gravity framework, analyzing quantum effects at finite temperature, especially focusing on models constructed from cycle graphs.
Contribution
It introduces a novel approach to Einstein universe solutions using graph-based induced gravity and computes the one-loop quantum action at finite temperature.
Findings
Specific solutions for cycle graph models are demonstrated.
Finite temperature effects are incorporated into the quantum action.
The study provides insights into the stability of Einstein universe configurations.
Abstract
We study self-consistent static solutions for an Einstein universe in a graph-based induced gravity. The one-loop quantum action is computed at finite temperature. In particular, we demonstrate specific results for the models based on cycle graphs.
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