Eternity and the cosmological constant

TL;DR

This paper investigates the stability of interacting matter with a cosmological constant using heat equation methods, finding no imaginary part in the effective potential for fixed backgrounds like the n-sphere.

Contribution

It introduces a novel approach based on the heat equation to analyze stability in cosmological models with a cosmological constant.

Findings

No imaginary part in the effective potential for fixed backgrounds.

Stability analysis applied to n-dimensional spheres and their continuations.

Provides insights into the behavior of matter in cosmological constant scenarios.

Abstract

The purpose of this paper is to analyze the stability of interacting matter in the presence of a cosmological constant. Using an approach based on the heat equation, no imaginary part is found for the effective potential in the presence of a fixed background, which is the n-dimensional sphere or else an analytical continuation thereof, which is explored in some detail.