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The effective four-dimensional, linearised gravity for a brane world model with higher order curvature terms and a bulk scalar field is analysed. Large and small distance gravitational laws are derived. The model has a single brane embedded…

High Energy Physics - Theory · Physics 2007-05-23 Stephen C. Davis

We derive a new parametric class of exact cosmological solutions to Brans-Dicke theory of gravity with a self-interacting scalar field and a barotropic perfect fluid of ordinary matter, by assuming a linear relationship between the Hubble…

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

The kinematical quantities derived from the velocity field of a nongeodesic congruence are studied. We found the shear tensor components are finite in time but diverge at the event horizon of the spacetime located at $\rho = 0$. The surface…

High Energy Physics - Theory · Physics 2014-10-20 Hristu Culetu

Strong field gravitational lensing in the Brans-Dicke theory has been studied. The deflection angle for photons passing very close to the photon sphere is estimated for the static spherically symmetric space-time of the theory and the…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Kabita Sarkar , Arunava Bhadra

The impact of Lorentz violation on the dynamics of a scalar field is investigated. In particular, we study the dynamics of a scalar field in the scalar-vector-tensor theory where the vector field is constrained to be unity and time like. By…

High Energy Physics - Theory · Physics 2009-06-10 Arianto , Freddy P. Zen , Bobby E. Gunara , Triyanta , Supardi

We investigate an alternative compactification of extra dimensions using local cosmic string in the Brans-Dicke gravity framework. In the context of dynamical systems it is possible to show that there exist a stable field configuration for…

High Energy Physics - Theory · Physics 2008-11-26 M. C. B. Abdalla , M. E. X. Guimaraes , J. M. Hoff da Silva

We consider higher-dimensional massive Brans-Dicke theory with Ricci-flat internal space. The background model is perturbed by a massive gravitating source which is pressureless in the external (our space) but has an arbitrary…

General Relativity and Quantum Cosmology · Physics 2020-01-03 Ozgur Akarsu , Alexey Chopovsky , Valerii Shulga , Ezgi Yalcinkaya , Alexander Zhuk

We consider Brans-Dicke (BD) scalar tensor theory in the conformally transformed Einstein frame. In this frame BD theory behaves like an interacting quintessence model. We find the necessary conditions on the form of the potential…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Mahmood Roshan , Fatimah Shojai

This work discusses scalar-tensor theories of gravity, with a focus on the Brans-Dicke subclass, and one that also takes note of the latter's equivalence with $f(R)$ gravitation theories. A 1+3 covariant formalism is used in this case to…

General Relativity and Quantum Cosmology · Physics 2018-01-08 Joseph Ntahompagaze , Amare Abebe , Manasse R. Mbonye

The variational field equations of Brans-Dicke scalar-tensor theory of gravitation are given in a non-Riemannian setting in the language of exterior differential forms over 4-dimensional spacetimes. A conformally re-scaled Robinson-Trautman…

General Relativity and Quantum Cosmology · Physics 2019-02-15 Muzaffer Adak , Tekin Dereli , Yorgo Senikoglu

Gravity is treated as a stochastic phenomenon based on fluctuations of the metric tensor of general relativity. By using a (3+1) slicing of spacetime, a Langevin equation for the dynamical conjugate momentum and a Fokker-Planck equation for…

General Relativity and Quantum Cosmology · Physics 2014-11-17 J. W. Moffat

Given that the simple wave equation of Brans-Dicke theory for the scalar field is preserved, we have investigated, through exhaustively analyzing the Bianchi identities, the consistent theories which violate the exact energy conservation…

General Relativity and Quantum Cosmology · Physics 2016-11-28 Georgios Kofinas

In this paper, conditions for existence of G\"{o}del and G\"{o}del-type solutions in Brans-Dicke (BD) scalar-tensor theory and their main features are studied. The consistency of equations of motion, causality violation and existence of…

High Energy Physics - Theory · Physics 2016-10-12 J. A. Agudelo , J. R. Nascimento , A. Yu. Petrov , P. J. Porfírio , A. F. Santos

An action in which the Ricci scalar is nonminimally coupled with a scalar field and contains higher order curvature invariant terms carries a conserved current under certain conditions that decouples geometric part from the scalar field.…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Abhik Kumar Sanyal

We investigate the cosmological dynamics in a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker geometry in scalar-tensor and scalar-torsion theories where the nonminimally coupled scalar field is a complex field. We derive the…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Andronikos Paliathanasis

In the present work, the Brans-Dicke theory of gravity is taken as a possible theory of k-essence coupled to gravity and then the role played by the Brans-Dicke scalar field in relation to the unified model for dark matter and dark energy…

Astrophysics · Physics 2007-05-23 Hongsu Kim

We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We…

High Energy Physics - Theory · Physics 2020-10-14 Gianmassimo Tasinato

Memory effects are studied in the simplest scalar-tensor theory, the Brans--Dicke (BD) theory. To this end, we introduce, in BD theory, novel Kundt spacetimes (without and with gyratonic terms), which serve as backgrounds for the ensuing…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Siddhant Siddhant , Indranil Chakraborty , Sayan Kar

The Gauss-Bonnet topological scalar is presented in metric-teleparallel formalism as well as in the symmetric and general teleparallel formulations. In all of the aforementioned frameworks, the full expressions are provided explicitly in…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Francesco Bajardi , Daniel Blixt , Salvatore Capozziello

One of the important and famous topics in general theory of relativity and gravitation is the problem of geodesic deviation and its related singularity theorems. An interesting subject is the investigation of these concepts when quantum…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Faramarz Rahmani , Mehdi Golshani