Finite-Temperature Cosmological Phase Transition in a Rotating Spacetime

TL;DR

This paper investigates how finite temperature and spacetime rotation influence cosmological phase transitions using a $6$-function regularization in Godel spacetime, revealing the critical temperature's dependence on rotation and curvature.

Contribution

It introduces a method to evaluate the effective potential at finite temperature in rotating spacetime and analyzes the impact on symmetry restoration.

Findings

Critical temperature depends on spacetime rotation and curvature coupling.

Rotation can either delay or hasten symmetry restoration.

The $6$-function regularization effectively handles divergences in curved spacetime.

Abstract

We use the $\zeta$-function regularization method to evaluate the finite temperature 1-loop effective potential for $\phi^4$ theory in the Godel spacetime. It is used to study the effects of temperature and curvature coupling on the cosmological phase transition in the rotational spacetime. From our results the critical temperature of symmetry restoration, which is a function of curvature coupling and magnitude of spacetime rotation, can be determined.