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

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.

21 pages, 3 figures. To appear in the book "Breakdown of the Einstein's Equivalence Principle", ed. by A. G. Lebed (World Scientific, 2021). A few typos corrected, two references added