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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…

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

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 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

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

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 refine and slightly enlarge the recently proposed first-order thermodynamics of scalar-tensor gravity to include gravitational scalar fields with timelike and past-directed gradients. The implications and subtleties arising in this…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Andrea Giusti , Serena Giardino , 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

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

Two issues in the first-order thermodynamics of scalar-tensor (including ``viable'' Horndeski) gravity are elucidated. The application of this new formalism to FLRW cosmology is shown to be fully legitimate and then extended to all Bianchi…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Valerio Faraoni , Julien Houle

Out of several possible extensions of general relativity, the scalar-tensor theory is the most popular for several reasons. Since the quantum description of gravity is yet to be formulated properly, the understanding of a gravitational…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

The thermal analogy between the effective fluid of scalar-tensor gravity and Eckart's irreversible thermodynamics is extended to the causal Israel-Stewart model, adopting the minimal ansatz of promoting the heat flux density to a timelike…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Narayan Banerjee , Andrea Giusti , Valerio Faraoni , Luca Gallerani , Alain Maltais-Gosselin

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

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 revisit the thermodynamic description of fluid, represented by scalar field in scalar-tensor gravity theory through a general approach to study the thermodynamics of relativistic fluids. In order to identify the fluid energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Abhinove Nagarajan Seenivasan , Sayan Chakrabarti , Bibhas Ranjan Majhi

We revisit the analogy between a minimally coupled scalar field in general relativity and a perfect fluid, correcting previous identifications of effective temperature and chemical potential. This provides a useful complementary picture for…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Valerio Faraoni , Serena Giardino , Andrea Giusti , Robert Vanderwee

We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two conformally connected frames, this paper…

General Relativity and Quantum Cosmology · Physics 2017-05-19 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi

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

Thermodynamics provides a useful interpretation of scalar-tensor gravity, in which the effective imperfect fluid admitted by the nonminimal coupling features a temperature that is associated with the departure from general relativity.…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Laur Järv , Sotirios Karamitsos

We formulate a first-order thermodynamic description of Jordan-frame tensor--multi-scalar gravity. From the Einstein-like field equations we obtain the exact covariant $1+3$ decomposition of the geometric sector and interpret it as an…

General Relativity and Quantum Cosmology · Physics 2026-04-21 David S. Pereira

With the usual definitions for the entropy and the temperature associated with the apparent horizon, we discuss the first law of the thermodynamics on the apparent in the general scalar-tensor theory of gravity with the kinetic term of the…

General Relativity and Quantum Cosmology · Physics 2016-03-04 Yumei Huang , Yungui Gong
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