On the Entropy of Minimally Coupled and Non-minimally Coupled Gravities

TL;DR

This paper examines how conformal transformations influence the thermodynamic properties of scalar-tensor gravity theories, using a charged black hole in string theory as a case study.

Contribution

It provides an analysis of the effects of conformal transformations on gravitational thermodynamics within scalar-tensor theories, focusing on a specific black hole solution.

Findings

Conformal transformations can alter thermodynamic properties in scalar-tensor gravities.

The charged black hole's thermodynamics are explicitly analyzed in the context of string theory.

Insights into the invariance or variability of thermodynamic quantities under conformal mappings.

Abstract

We investigate whether the gravitational thermodynamic properties of the scalar-tensor theory of gravity are affected by the conformal transformation or not. As an explicit example, we consider an electrically charged static spherical black hole in the 4-dimensional low energy effective theory of bosonic string.