The thermal view of singularity-free scalar-tensor spacetimes

TL;DR

This paper explores the thermal properties of singularity-free scalar-tensor spacetimes, revealing new phenomenology and clarifying the relation between different gravitational solutions within the thermal view framework.

Contribution

It introduces a detailed analysis of the Pimentel solution in Brans-Dicke theory, extending the thermal view of gravity and connecting it with known solutions like Mars.

Findings

Uncovered new phenomenology with the Pimentel solution

Discussed the anomalous limit to General Relativity

Linked the Pimentel geometry to the Mars solution in Einstein frame

Abstract

The two-parameter inhomogeneous and time-dependent Pimentel solution of Brans-Dicke theory is analyzed to probe and extend the new thermal view in which General Relativity is the zero-temperature (equilibrium) state of scalar-tensor gravity. As the parameters vary, we uncover phenomenology not found before with other exact solutions, nor contemplated thus far in the general theory. In the process, we also discuss the anomalous limit to General Relativity of the Pimentel geometry and show how the Mars solution of the Einstein equations is its Einstein frame version, elucidating the relation between these geometries.