paper

Stealth metastable state of scalar-tensor thermodynamics

arXiv:2203.14934 · doi:10.1103/PhysRevD.105.104006

Abstract

We investigate a puzzle in the recent thermodynamics of scalar-tensor gravity, in which general relativity is a zero-temperature state of equilibrium and scalar-tensor gravity is the non-equilibrium configuration of an effective dissipative fluid. A stealth solution of Brans-Dicke gravity with constant positive temperature is shown to be analogous to a metastable state for the effective fluid and to suffer from an instability. The stability analysis employs a version of the Bardeen-Ellis-Bruni-Hwang gauge-invariant formalism for cosmological perturbations adapted to modified gravity. The metastable state is destroyed by tensor perturbations.

An error has been corrected (main conclusion unchanged), comments added, bibliography expanded. Matches version in press in Phys. Rev. D

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