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We show that the scalar-vacuum Brans-Dicke equations in 5D are equivalent to Brans-Dicke theory in 4D with a self interacting potential and an effective matter field. The cosmological implication, in the context of FRW models, is that the…

General Relativity and Quantum Cosmology · Physics 2010-04-30 J. Ponce de Leon

The dynamics of the Brans-Dicke theory with a quadratic scalar field potential function and barotropic matter is investigated. The dynamical system methods are used to reveal complexity of dynamical evolution in homogeneous and isotropic…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Orest Hrycyna , Marek Szydlowski

Dark energy cosmology is considered in a modified Gauss-Bonnet (GB) model of gravity where an arbitrary function of the GB invariant, $f(G)$, is added to the General Relativity action. We show that such theory is endowed with a quite rich…

High Energy Physics - Theory · Physics 2008-11-26 Guido Cognola , Emilio Elizalde , Shin'ichi Nojiri , Sergei D. Odintsov , Sergio Zerbini

The present work deals with a multi-field cosmological model in a spatially flat FLRW space-time geometry. The usual Brans-Dicke(BD) field and another scalar field are minimally coupled to gravity while they interact with each other through…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Dipankar Laya , Sourav Dutta , Subenoy Chakraborty

We analyze the cosmology of a general Scalar-Tensor theory which encompasses generalized Brans-Dicke theory, Gauss-Bonnet gravity, non-minimal derivative gravity, generalized Galileon gravity and also the general k-essence type models.…

General Relativity and Quantum Cosmology · Physics 2017-03-07 Erfan Masaeli , Meysam Motaharfar , Hamid Reza Sepangi

One of the main science goals of the Large Synoptic Survey Telescope (LSST) is to uncover the nature of cosmic acceleration. In the base analysis, possible deviations from the Lambda-Cold-Dark-Matter ($\Lambda$CDM) background evolution will…

The starting point of this work is the principle that all movement of particles and photons in the observable Universe must follow geodesics of a 4-dimensional space where time intervals are always a measure of geodesic arc lengths, i.e.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jose B. Almeida

We discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical interactions. After a brief general exposition, we review in more…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. A. Bronnikov , S. A. Kononogov , V. N. Melnikov

Here we study the form of the Mattig equation applied in a cosmological setting for spacetime metric gravity models described by the Gauss-Bonnet action. We start with expressing the Mattig relation for cosmological magnitudes in terms of…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Keith Andrew , Eric Steinfelds , Nick Zolman

In this work, we analyze the Einstein-scalar-Gauss-Bonnet (EsGB) theory of gravity in a cosmological context using the formalism of dynamical systems. We obtain the equations of motion of the theory and introduce an appropriate set of…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Miguel A. S. Pinto , João Luís Rosa

The stability criteria for the generalized Brans-Dicke cosmology in a spatially flat, homogeneous and isotropic cosmological model is discussed in the presence of a perfect fluid. The generalization comes through the channel that the…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Nandan Roy , Narayan Banerjee

The general model of higher derivative (HD) gravity is considered. The search of brane-world cosmology in such theory is presented when bulk is d5 AdS and boundary is spherical, hyperbolic or flat (single) brane. It is found the wide range…

High Energy Physics - Theory · Physics 2009-10-31 Shin'ichi Nojiri , Sergei D. Odintsov

Massive Brans-Dicke (BD) theory is among the simplest general relativity extensions. It is commonly found as the weak-field limit of other gravitational theories. Here we do a detailed post-Newtonian analysis of massive BD theories. We…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Matheus F. S. Alves , Júnior D. Toniato , Davi C. Rodrigues

We study solutions of Einstein's equations corresponding codimension n>2 global topological defects with de Sitter slices. We analyze a class of solutions that are cylindrically symmetric and admit positive, negative or zero bulk…

High Energy Physics - Theory · Physics 2009-11-10 I. Olasagasti , K. Tamvakis

In the Brans-Dicke model we treat the scalar field exactly and expand the gravitational field in a power series. A comparison with 2D sigma models and \phi^{4} perturbation theory in four dimensions suggests that the perturbation series in…

High Energy Physics - Theory · Physics 2007-05-23 Z. Haba

The standard LambdaCDM model based on General Relativity (GR) including cold dark matter (CDM) is very successful at fitting cosmological observations, but recent non-detections of candidate dark matter (DM) particles mean that various…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-09 Charalambos Pittordis , Will Sutherland

We review the exact solutions in modified gravity. It is one of the main problems of mathematical physics for the gravity theory. One can obtain an exact solution if the field equations reduce to a system of ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2013-05-27 Andrey N. Makarenko , Valery V. Obukhov

The cosmological viability of varying $G\left( t\right) $ and $\Lambda \left( t\right) $ cosmology is discussed by determining the cosmological eras provided by the theory. Such a study is performed with the determination of the critical…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Andronikos Paliathanasis

All observational evidence for dark matter and dark energy is so far exclusively gravitational. Hence, the dark sector may be equivalently described by a theory of the spacetime metric whose dynamics is affected by interactions with an…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-10 Santiago Agüí Salcedo , Thomas Colas , Lennard Dufner , Enrico Pajer

The phenomenology of the modified Newtonian dynamics (MOND) can be recovered from a mechanism of "gravitational polarization" of some dipolar medium playing the role of dark matter. We review a relativistic model of dipolar dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-30 Luc Blanchet , David Langlois , Alexandre Le Tiec , Sylvain Marsat