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We test ideas of the recently proposed first-order thermodynamics of scalar-tensor gravity using an exact geometry sourced by a conformally coupled scalar field. We report a non-monotonic behaviour of the effective ``temperature of…

General Relativity and Quantum Cosmology · Physics 2024-01-11 Numa Karolinski , Valerio Faraoni

Stealth solutions of scalar-tensor gravity and less-known de Sitter spaces that generalize them are analyzed regarding their possible role as thermal equilibria at non-zero temperature in the new first-order thermodynamics of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Serena Giardino , Andrea Giusti , Valerio Faraoni

The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and thermodynamics to better understand the space of gravity theories. It is based on using Eckart's…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Serena Giardino , Andrea Giusti

Previously, the Einstein equation has been described as an equation of state, general relativity as the equilibrium state of gravity, and $f({\cal R})$ gravity as a non-equilibrium one. We apply Eckart's first order thermodynamics to the…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Valerio Faraoni , Andrea Giusti

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…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Valerio Faraoni , Théo B. Françonnet

A new thermodynamics of scalar-tensor gravity is applied to spatially homogeneous and isotropic cosmologies in this class of theories and tested on analytical solutions. A forever-expanding universe approaches the Einstein "state of…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Serena Giardino , Valerio Faraoni , Andrea Giusti

We extend to the Horndeski realm the irreversible thermodynamics description of gravity previously studied in "first generation" scalar-tensor theories. We identify a subclass of Horndeski theories as an out-of--equilibrium state, while…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Andrea Giusti , Stefan Zentarra , Lavinia Heisenberg , Valerio Faraoni

A new thermal view of scalar-tensor gravity, in which general relativity is the zero-temperature state of gravity, is applied to the specific subclass of $f(R)$ gravity theories and, specifically, to spatially homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Valerio Faraoni , Santiago Novoa Cattivelli

Analytical solutions of nonminimally coupled scalar field cosmology corresponding to critical scalar field values constitute a potential challenge to the recent first-order thermodynamics of scalar-tensor gravity (a formalism picturing…

General Relativity and Quantum Cosmology · Physics 2022-07-11 Valerio Faraoni , Pierre-Antoine Graham , Alexandre Leblanc

Brans-Dicke gravity does not always reduce to General Relativity in the limit $\omega\to\infty$ for the coupling constant. This anomalous behavior is examined within the formalism of the first-order thermodynamics of scalar-tensor gravity.…

General Relativity and Quantum Cosmology · Physics 2025-08-04 L. Gallerani , A. Giusti , A. Mentrelli , V. Faraoni

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…

General Relativity and Quantum Cosmology · Physics 2026-01-16 Valerio Faraoni , Nikki Veilleux

The phase space of Bianchi I universes in vacuum Brans-Dicke gravity is analyzed in terms of physical variables. The behaviour of the solutions of the field equations near the fixed points (which are solutions of Einstein gravity) is…

General Relativity and Quantum Cosmology · Physics 2024-05-01 Julien Houle , Valerio Faraoni

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…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Valerio Faraoni , Andrea Giusti , Andrea Mentrelli

The extreme Reissner-Nordstr\"om black holes have zero surface gravity. However, a semi-classical analysis seems to be ill-definite for these objects and apparently no notion of temperature exists for them. It is argued here that these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. G. Alvarenga , A. B. Batista , J. C. Fabris , G. T. Marques

Temperature effects in a scalar field non-minimally coupled to gravity are investigated. The Thermo Field Dynamics formalism is used. This is a topological field theory that allows us to calculate different effects, such as the…

General Relativity and Quantum Cosmology · Physics 2022-03-22 A. F. Santos , Faqir C. Khanna

We derive the equations of motion for Palatini F(R) gravity by applying an entropy balance law T dS= \delta Q+\delta N to the local Rindler wedge that can be constructed at each point of spacetime. Unlike previous results for metric F(R),…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Goffredo Chirco , Christopher Eling , Stefano Liberati

We delve into the first-order thermodynamics of Horndeski gravity, focusing on spatially flat, homogeneous, and isotropic cosmologies. Our exploration begins with a comprehensive review of the effective fluid representation within viable…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Marcello Miranda , Serena Giardino , Andrea Giusti , Lavinia Heisenberg

We explore alternative formulations of the analogy between viable Horndeski gravity and Eckart's first-order thermodynamics. We single out a class of identifications for the effective stress-energy tensor of the scalar field fluid that,…

General Relativity and Quantum Cosmology · Physics 2024-09-30 Luca Gallerani , Marcello Miranda , Andrea Giusti , Andrea Mentrelli

Induced gravity, defined as a globally scale-invariant ``first-generation'' scalar-tensor theory, is investigated within the framework of the thermodynamics of modified gravity theories. The ``temperature of gravity'' and its evolution…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Andrea Giusti

We consider a novel class of $f(\R)$ gravity theories where the connection is related to the conformally scaled metric $\hat g_{\mu\nu}=C(\R)g_{\mu\nu}$ with a scaling that depends on the scalar curvature $\R$ only. We call them C-theories…

General Relativity and Quantum Cosmology · Physics 2011-02-18 Luca Amendola , Kari Enqvist , Tomi Koivisto
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