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    Thermal view of singularity-free scalar-tensor spacetimes

    Valerio Faraoni* and Nikki Veilleux

    • Department of Physics and Astronomy, Bishop’s University, 2600 College Street, Sherbrooke, Quebec J1M 1Z7, Canada

    • *Contact author: vfaraoni@ubishops.ca
    • Contact author: nveilleux21@ubishops.ca

    Phys. Rev. D 113, 044030 – Published 9 February, 2026

    DOI: https://doi.org/10.1103/bf3m-8ydv

    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.

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