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Related papers: The equation of state for scalar-tensor gravity

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The Tolman-Ehrenfest criterion for the thermal equilibrium of a fluid at rest in a static general-relativistic geometry is generalized to scalar-tensor gravity. Surprisingly, the gravitational scalar field, which fixes the strength of the…

General Relativity and Quantum Cosmology · Physics 2024-11-21 Numa Karolinski , Valerio Faraoni

We derive the Einstein field equations and black hole entropy from the first law of thermodynamics on a holographic time-like screen. Because of the universality of gravity, the stress tensor on the screen must be independent of the details…

High Energy Physics - Theory · Physics 2012-07-10 Miao Li , Rong-Xin Miao , Jun Meng

We propose a unimodular version of the Brans-Dicke theory designed with a constrained Lagrangian formulation. The resulting field equations are traceless. The vacuum solutions in the cosmological background reproduce the corresponding…

General Relativity and Quantum Cosmology · Physics 2022-07-28 Alexandre M. R. Almeida , Júlio C. Fabris , Mahamadou Hamani Daouda , Richard Kerner , Hermano Velten , Wiliam S. Hipólito-Ricaldi

We study $f(R)$ gravity models in the language of scalar-tensor theories. The correspondence between $f(R)$ gravity and scalar-tensor theories is revisited since $f(R)$ gravity is a subclass of Brans-Dicke models, with a vanishing coupling…

General Relativity and Quantum Cosmology · Physics 2017-06-28 Joseph Ntahompagaze , Amare Abebe , Manasse Mbonye

Two different ways of generalizing Einstein's general theory of relativity with a cosmological constant to Brans-Dicke type scalar-tensor theories are investigated in the linearized field approximation. In the first case a cosmological…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Hatice Özer , Özgür Delice

We consider a generalized Brans-Dicke model in which the scalar field has a potential function and is also allowed to couple non-minimally with the matter sector. This anomalous gravitational coupling can in principle avoid the model to…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Yousef Bisabr

In the framework of a general scalar-tensor theory, where the scalar field is non-minimally coupled to the five-dimensional Ricci scalar curvature, we investigate the emergence of complete brane-world solutions. By assuming a variety of…

High Energy Physics - Theory · Physics 2020-05-06 Theodoros Nakas , Panagiota Kanti , Nikolaos Pappas

We investigate the Brans-Dicke (BD) theory with the potential as cosmological model to explain the present accelerating universe. In this work, we consider the BD field as a perfect fluid with the energy density and pressure in the Jordan…

High Energy Physics - Theory · Physics 2011-03-14 Hyung Won Lee , Kyoung Yee Kim , Yun Soo Myung

The variational field equations of Brans-Dicke scalar-tensor theory of gravitation are presented in a Riemannian and non-Riemannian setting in the language of exterior differential forms over 4-dimensional spacetime. In Rosen coordinates,…

General Relativity and Quantum Cosmology · Physics 2019-06-14 Tekin Dereli , Yorgo Senikoglu

Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated as low energy limit of higher-dimensional or unified…

General Physics · Physics 2025-12-09 F. Minotti , G. Modanese

In the Brans-Dicke(BD) theory on $M_{4}\times Z_{2}$ geometry the geometrical meaning of the torsion is clarified. The BD theory on $M_{4}\times Z_{2}$ is rederived by taking into account of a new isometry condition.

High Energy Physics - Theory · Physics 2007-05-23 Akira Kokado , Gaku Konisi , Takesi Saito , Yutaka Tada

The Einstein-Gauss-Bonnet equations projected from the bulk to brane lead to a complicated Friedmann equation which simplifies to $H^2 \sim \rho^q$ in the asymptotic regimes. The Randall-Sundrum (RS) scenario corresponds to $q=2$ whereas…

High Energy Physics - Theory · Physics 2009-11-10 M. Sami , N. Savchenko , A. Toporensky

We discuss some of the issues which we encounter when we try to invoke the scalar-tensor theories of gravitation as a theoretical basis of quintessence. One of the advantages of appealing to these theories is that they allow us to implement…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Yasunori Fujii

The authors of Ref. \cite{1-2}, investigated cosmic evolution in an external interacting model of scalar tensor gravity namely Brans Dicke chameleon scenario. The procedure of this work contains novelties but, it shall be observed from this…

General Relativity and Quantum Cosmology · Physics 2018-09-17 Haidar Sheikhahmadi

The asymptotic behavior of the scalar field and its physical meaning are discussed for T=0 and T\neq 0 for the large enough coupling parameter \omega. The special character of the Brans-Dicke theory is also discussed for local and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Miyazaki

We present an alternative derivation of the gravitational field equations for Lovelock gravity starting from the Newton's law, which is closer in spirit to the thermodynamic description of gravity. As a warm up exercise, we have explicitly…

General Relativity and Quantum Cosmology · Physics 2018-04-23 Sumanta Chakraborty

Recent analysis suggests that the classical dynamics of a tachyon on an unstable D-brane is described by a scalar Born-Infeld type action with a runaway potential. The classical configurations in this theory at late time are in one to one…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

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 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

This article presents the derivation of the stress-energy tensor of a free scalar field with a general non-linear dispersion relation in curved spacetime. This dispersion relation is used as a phenomelogical description of the short…

High Energy Physics - Theory · Physics 2009-11-07 Martin Lemoine , Musongela Lubo , Jerome Martin , Jean-Philippe Uzan