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Related papers: Brans-Dicke Gravity from Entropic Viewpoint

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The formulation of Brans-Dicke (BD) gravity with matter in the Einstein frame is realized as Einstein gravity with dilaton and dilaton coupled matter. We calculate the one-loop 4d anomaly-induced effective action due to N dilaton- coupled…

General Relativity and Quantum Cosmology · Physics 2009-09-17 Bodo Geyer , Sergei D. Odintsov , Sergio Zerbini

Some essential conceptual aspects that will fill some logical gaps of the frame to interpret the gravity as an entropic force was investigated, we focus on some crucial issues that didn't emphasized in Verlinde's original…

General Relativity and Quantum Cosmology · Physics 2014-02-21 Qiao-Jun Cao

Starting from the Modified Newtonian Dynamics (MOND) theory and using an inverse approach, we construct a general form of the entropy expression associated with the horizon based on the entropic nature of gravity. Using the…

General Physics · Physics 2025-10-17 Ahamd Sheykhi , Leila Liravi

With entropic interpretation of gravity proposed by Verlinde, we obtain the Friedmann equation of the Friedmann-Robertson-Walker universe for the deformed Ho\v{r}ava-Lifshitz gravity. It is shown that, when the parameter of…

High Energy Physics - Theory · Physics 2011-09-23 Shao-Wen Wei , Yu-Xiao Liu , Yong-Qiang Wang

The loop quantization of Brans-Dicke theory (with coupling parameter $\omega\neq-3/2$) is studied. In the geometry-dynamical formalism, the canonical structure and constraint algebra of this theory are similar to those of general relativity…

General Relativity and Quantum Cosmology · Physics 2012-05-18 Xiangdong Zhang , Yongge Ma

The issue of the physical equivalence between the Einstein and Jordan conformal frames in Jordan-Brans-Dicke (JBD) theory is revised. Scalar-tensor theories equations are not invariant with respect to conformal transformations if one uses…

General Physics · Physics 2012-12-26 Sergey M. Kozyrev , Rinat A. Daishev

We consider the quantum gravity and cosmology of a Jordan-Brans-Dicke theory, predicted by string effective actions. We study its canonical formalism and find that the constraint algebra is that of general relativity, as a consequence of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Luis J. Garay , Juan Garcia-Bellido

The Brans-Dicke scalar-tensor cosmological models are studied in both Einstein and Jordan frames, using hydrodynamical and self-interacting scalar field representations of the energy-momentum tensor, leading to the same background…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Tiago H. B. Alves , Júlio C. Fabris , Luiz Filipe Guimarães

We consider a modified Brans-Dicke theory in which except the usual Brans-Dicke parameter a new dimensionful parameter appears which modifies the kinetic term of the scalar field coupled to gravity. Solving the coupled Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Eleftherios Papantonopoulos , Christoforos Vlachos

We shall show equivalence between Palatini-$f(\calR)$ theories and Brans-Dicke (BD) theories at the level of action principles in generic dimension with generic matter coupling. We do that by introducing the Helmholtz Lagrangian associated…

General Relativity and Quantum Cosmology · Physics 2014-09-29 L. Fatibene , S. Garruto

We study antigravity, that is having an effective gravitational constant with a negative sign, in scalar-tensor theories originating from $F(R)$-theory and in a Brans-Dicke model with cosmological constant. For the $F(R)$ theory case, we…

General Relativity and Quantum Cosmology · Physics 2014-08-05 V. K. Oikonomou , N. Karagiannakis

An alternative interpretation of the conformal transformations of the metric is discussed according to which the latter can be viewed as a mapping among Riemannian and Weyl-integrable spaces. A novel aspect of the conformal transformation's…

General Relativity and Quantum Cosmology · Physics 2013-01-29 Israel Quiros , Ricardo Garcia-Salcedo , Jose Edgar Madriz Aguilar , Tonatiuh Matos

It is suggested that the Einstein equation can be derived from Landauer's principle applied to an information erasing process at a local Rindler horizon and Jacobson's idea linking the Einstein equation with thermodynamics. When matter…

High Energy Physics - Theory · Physics 2020-09-25 Jae-Weon Lee , Hyeong-Chan Kim , Jungjai Lee

We investigate theories in which gravity arises as a consequence of entropy. We distinguish between two approaches to this idea: holographic gravity, in which Einstein's equation arises from keeping entropy stationary in equilibrium under…

High Energy Physics - Theory · Physics 2016-06-23 Sean M. Carroll , Grant N. Remmen

In this work, we present a complete analysis of the quantisation of the classical Brans-Dicke Theory using the method of affine quantisation in the Hamiltonian description of the theory. The affine quantisation method is based on the…

General Relativity and Quantum Cosmology · Physics 2019-01-30 E. Frion , C. R. Almeida

This paper is devoted to the analysis of the covariant canonical formalism of $F(R)$ gravity in Einstein frame. We also find canonical transformation between covariant canonical formulation of F(R) gravity in Jordan frame and Einstein…

General Relativity and Quantum Cosmology · Physics 2023-03-22 J. Kluson , B. Matous

We consider an approach to Brans-Dicke theory of gravity in which the scalar field has a geometrical nature. By postulating the Palatini variation, we find out that the role played by the scalar field consists in turning the space-time…

General Relativity and Quantum Cosmology · Physics 2015-06-18 T. S. Almeida , M. L. Pucheu , C. Romero , J. B. Formiga

We introduce the Brans-Dick de Rham-Gabadadze-Tolley massive gravity theory which is the new extension of nonlinear massive gravity. We demonstrate a detailed study of the cosmological properties of this theory of gravity, and we show the…

General Relativity and Quantum Cosmology · Physics 2022-06-17 Sobhan Kazempour , Amin Rezaei Akbarieh

Some comments are given on recently proposed entropic gravity by Verlinde. We focus on the derivation of Newton's law of gravitation. It is shown that consistent classical relations are enough to result in the Newtonian gravity. In our…

High Energy Physics - Theory · Physics 2010-05-11 Jong-Phil Lee

The $\omega\to\infty$ limit of Brans-Dicke theory is studied with the help of the conformal transformation approach without resorting, however, to the conformal invariance property of this formalism, that is shown to be spurious.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Israel Quiros