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

TL;DR

This paper explores self-consistent cosmological solutions within a graph-based induced gravity model, extending dimensional deconstruction to analyze Einstein equations on graph theory spaces, with particular focus on cycle graphs.

Contribution

It introduces a self-consistent approach to Einstein equations in a graph-based induced gravity framework, generalizing dimensional deconstruction methods.

Findings

Demonstrates solutions for Einstein equations on cycle graphs.

Extends induced gravity models to finite temperature scenarios.

Provides a framework for analyzing cosmological solutions in graph theory spaces.

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.