Gravity at Finite Temperature, Equivalence Principle,and Local Lorentz Invariance

TL;DR

This paper explores how finite temperature effects can lead to violations of the equivalence principle and local Lorentz invariance, discussing potential physical implications and models with effective repulsive forces.

Contribution

It establishes a connection between equivalence principle violations at finite temperature and local Lorentz symmetry breaking, introducing a quasi-Riemannian gravity model with rotational symmetry.

Findings

Finite temperature can induce violations of the weak equivalence principle.

Breaking local Lorentz symmetry may lead to effective repulsive gravitational forces.

The study suggests physical implications of these violations in generalized gravity models.

Abstract

In this Chapter we illustrate the close connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz symmetry. We also discuss the physical implications of the effective repulsive forces possibly arising in such a generalized gravitational context, by considering, for an illustrative purpose, a quasi-Riemannian model of gravity with rotational symmetry as the local gauge group in tangent space.