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A new approach to the thermodynamics of scalar-tensor gravity

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arxiv 2110.02368 v2 pith:QEMPOHPX submitted 2021-10-05 gr-qc

Valerio Faraoni , Andrea Giusti , Andrea Mentrelli This is my paper · ORCID
classification gr-qc
keywords gravityscalar-tensorthermodynamicsapproachdiffusioneffectiveequilibriumproposed
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We discuss and expand a new approach to the thermodynamics of scalar-tensor gravity and its diffusion toward general relativity (seen as an equilibrium state) proposed in a previous Letter [Phys. Rev. D 103, L121501 (2021)], upon which we build. We describe scalar-tensor gravity as an effective dissipative fluid and apply Eckart's first order thermodynamics to it, obtaining explicitly effective quantities such as heat flux, "temperature of gravity", viscosities, entropy density, plus an equation describing the "diffusion" to Einstein gravity. These quantities, still missing in the usual thermodynamics of spacetime, are obtained with minimal assumptions. Furthermore, we examine certain exact solutions of scalar-tensor gravity to test the proposed formalism and gain some physical insight on the "approach to equilibrium" for this class of theories.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Gravitational Waves as Thermodynamic Shear Excitations in Scalar-Tensor Gravity

    gr-qc 2026-07 accept novelty 6.0 of 10

    In scalar-tensor gravity, a transverse-traceless gravitational wave performs gauge-invariant shear work on the scalar-field fluid, with power = (KT/4) times the squared strain rate.

  2. Towards a causal effective thermodynamics of scalar-tensor gravity

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    Extends scalar-tensor gravity thermodynamics to causal Israel-Stewart model via timelike heat flux ansatz, decoupling T and K while preserving GR equilibrium.

  3. Black hole interiors in the thermal view of scalar-tensor gravity

    gr-qc 2025-05 conditional novelty 4.0 of 10

    In the thermal view of Brans-Dicke gravity, black hole singularities are 'hot': the effective temperature KT diverges as 1/t, and a fluid with P=wρ controls whether gravity approaches or departs from general relativity.

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