Violation of the equivalence principle in curvature based extended gravity at finite temperature

Abstract

We review the possible violation of the Equivalence Principle at finite temperature T in the framework of curvature based Extended Theories of Gravity. Specifically, we first show how it is possible to derive Equivalence Principle violation from Quantum Field Theory at non-vanishing T. Subsequently, we exhibit how this result can be precisely recovered by following an alternative path that envisages the employment of generalized Einstein equations with a temperature-dependent energy-momentum tensor. Finally, we adopt the latter formalism in the context of some Extended Gravity models to quantify the amount of Equivalence Principle violation. Specifically, Brans-Dicke Theory, Standard Model Extension and Conformal Gravity are considered in details.

References in corpus (4)

• Signals for Lorentz Violation in Post-Newtonian Gravity
• GUP parameter from quantum corrections to the Newtonian potential
• Einstein, Planck and Vera Rubin: relevant encounters between the Cosmological and the Quantum Worlds
• Equivalence principle violation at finite temperature in scalar-tensor gravity

Cited by in corpus (1)

• Probing the Lorentz Symmetry Violation Using the First Image of Sagittarius A*: Constraints on Standard-Model Extension Coefficients