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We have studied the properties of the static, spherically symmetric solution of Jordan, Brans-Dicke theory. An exact interior solution for standard space-time line element in the Schwarzschild form is obtained.

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. M. Kozyrev

We interpret the Brans-Dicke gravity from entropic viewpoint. We first apply the Verlinde's entropic formalism in the Einstein frame, then perform the conformal transformation which connects the Einstein frame to the Jordan frame. The…

High Energy Physics - Theory · Physics 2015-05-28 Ee Chang-Young , Kyoungtae Kimm , Daeho Lee

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

Using an energy-momentum complex we give a physical interpretation to the constants in the well-known static spherically symmetric asymptotically flat vacuum solution to the Brans-Dicke equations. The positivity of the tensor mass puts a…

General Relativity and Quantum Cosmology · Physics 2010-03-03 Aroonkumar Beesham

We study a model of the generalized Brans-Dicke gravity presented in both the Jordan and in the Einstein frames, which are conformally related. We show that the scalar field equations in the Einstein frame are reduced to the geodesics…

General Relativity and Quantum Cosmology · Physics 2015-06-18 J. -M. Alimi , A. A. Golubtsova , V. Reverdy

We tudy flat Friedmann-Robertson-Walker cosmology in Brans-Dicke-type theories of gravitation with minimal coupling between the scalar field and the matter fields in the Einstein frame (general relativity with an extra scalar field) for…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Israel Quiros , Rolando Bonal , Rolando Cardenas

We consider a Brans-Dicke cosmology in five-dimensional space-time. Neglecting the quadratic and the mixed Brans-Dicke terms in the Einstein equation, we derive a modified wave equation of the Brans-Dicke field. We show that, at high energy…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. Errahmani , T. Ouali

It is well known that, in contrast to general relativity, there are two conformally related frames, the Jordan frame and the Einstein frame, in which the Brans-Dicke theory, a prototype of generic scalar-tensor theory, can be formulated.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. Bhadra , K. Sarkar , D. P. Datta , K. K. Nandi

The extension of the Dirac Delta distribution (DD) to the complex field is needed for dealing with the complex-energy solutions of the Schr\"odinger equation, typically when calculating their inner products. In quantum scattering theory the…

Mathematical Physics · Physics 2016-03-18 J. Julve , R. Cepedello , F. J. de Urries

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

We study spherically symmetric solutions to the Jordan-Brans-Dicke field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. Assuming a perfect fluid with the equation of state, we show…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. M. Kozyrev

We consider first generation scalar-tensor theories of gravitation in a completely generic form, keeping the transformation functions of the local rescaling of the metric and the scalar field redefinition explicitly distinct from the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

Recently the most general completion of Brans-Dicke theory was appeared with energy exchanged between the scalar field and ordinary matter, given that the equation of motion for the scalar field keeps the simple wave form of Brans-Dicke.…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Georgios Kofinas , Minas Tsoukalas

We report the explicit form of the general static, spherically symmetric, and asymptotically flat solution of vacuum Brans-Dicke gravity in the Jordan frame, assuming that the Brans-Dicke scalar field has no singularities or zeros (except…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Valerio Faraoni , Faycal Hammad , Adriana M. Cardini , Thomas Gobeil

When Brans-Dicke Theory is formulated in terms of the Jordan scalar field \phi, dark energy is related to the mass of this field. We show that if \phi is taken to be a complex scalar field then an exact solution of the vacuum equations…

General Relativity and Quantum Cosmology · Physics 2015-03-14 Metin Arık , Mehmet Calık , N. Katirci

Several points regarding cylindrical Brans-Dicke geometries are studied. The issue of particle trajectories for the vacuum cylindrical solution is revisited. The possible particular nature of a global string metric is analysed. The general…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Andres Arazi , Claudio Simeone

We add a new scalar field in the no-scale Brans-Dicke gravity and require it to have a global O(2) symmetry with the original scalar field in the Brans-Dicke gravity. This gives us a new massless scalar field in the Einstein frame due to…

High Energy Physics - Phenomenology · Physics 2025-10-31 Muzi Hong , Kyohei Mukaida , Tsutomu T. Yanagida

M\o ller's Tetrad Theory of Gravitation is examined with regard to the energy-momentum complex. The energy-momentum complex as well as the superpotential associated with M\o ller's theory are derived. M\o ller's field equations are solved…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. I. Mikhail , M. I. Wanas , Ahmed Hindawi , E. I. Lashin

The Bakry-Emery generalized Ricci tensor arises in scalar-tensor gravitation theories in the conformal gauge known as the Jordan frame. Recent results from the mathematics literature show that standard singularity and splitting theorems…

General Relativity and Quantum Cosmology · Physics 2015-06-15 E Woolgar

The Brans-Dicke action is one of the most natural extensions of the Einstein-Hilbert action. It is based on the introduction of a fundamental scalar field that effectively incorporates a dynamics to the gravitational coupling $G$. In spite…

General Relativity and Quantum Cosmology · Physics 2016-03-07 Júlio C. Fabris , Bertrand Chauvineau , Davi C. Rodrigues , Carla R. Almeida , Oliver F. Piattella
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