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We construct globally regular gravitating solutions, which possess only discrete symmetries. These solutions of Yang-Mills-dilaton theory may be viewed as exact (numerical) solutions of scalar gravity, by considering the dilaton as a kind…

High Energy Physics - Theory · Physics 2008-11-26 Burkhard Kleihaus , Jutta Kunz , Kari Myklevoll

The pure Brans-Dicke (BD) gravity with or without the cosmological constant $\Lambda $ has been taken as a model theory for the dark matter. Indeed, there has been a consensus that unless one modifies either the standard theory of gravity,…

Astrophysics · Physics 2007-08-21 Hongsu Kim

We consider the massive scalar-tensor theory in the Jordan frame $F(\Phi) =K^{2}\Phi^2$ and $U(\Phi) =(1/2)m^{2}\Phi^2$, where $F(\Phi)$ corresponds to a constant Brans-Dicke parameter $\omega_{BD}=1/4K^2$. The constraint of the Solar…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-23 B. Boisseau

In a homogenous and isotropic cosmology, we introduce general exact solutions for some modified gravity models. In particular, we introduce exact solutions for power-law $f(R)$ gravity and Brans-Dicke theory in Einstein and Jordan conformal…

High Energy Physics - Theory · Physics 2018-06-08 Yousef Bisabr

The present paper proposes a new explanation for the 3-dimensional Einstein general theory of relativity which is free of contradictions and consistent with usual 4-dimensional physics. We discuss the property of the new gravity theory with…

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

We build a self-consistent relativistic scalar theory of gravitation on a flat Minkowski spacetime from a general field Lagrangian. It is shown that, for parameters that satisfy the Equivalence Principle, this theory predicts the same…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Diogo P. L. Bragança

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity (STT) allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 decomposition of spacetime. One is based on the Bona-Masso…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcelo Salgado , David Martinez-del Rio , Miguel Alcubierre , Dario Núñez

Motivated by conventional gauge theories, we consider a theory of gravity in which the Einstein-Hilbert action is replaced by a term that is quadratic in the Riemann tensor. We focus on cosmological solutions to the field equations in flat,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Lasenby , C. J. L. Doran , R. Heineke

Global properties of vacuum static, spherically symmetric configurations are studied in a general class of scalar-tensor theories (STT) of gravity in various dimensions. The conformal mapping between the Jordan and Einstein frames is used…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Kirill A. Bronnikov

Gravitation and the standard model of particle physics are incorporated within a single conformal scalar-tensor theory, where the scalar field is complex. The Higgs field has a dynamical expectation value, as has the Planck mass, but the…

General Relativity and Quantum Cosmology · Physics 2017-03-24 Meir Shimon

A new model to describe the dynamics of particles undergoing diffusion in general relativity is proposed. The evolution of the particle system is described by a Fokker-Planck equation without friction on the tangent bundle of spacetime. It…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Simone Calogero

We derive a novel class of four-dimensional black hole solutions in Gauss-Bonnet gravity coupled with a scalar field in presence of Maxwell electrodynamics. In order to derive such solutions, we assume the ansatz $ g_{tt}\neq g_{rr}{}^{-1}$…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Salvatore Capozziello , G. G. L. Nashed

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the Lagrangian, and we stress that apparent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Esposito-Farese , D. Polarski

Cosmological solutions of the Brans-Dicke theory are investigated by including a quantum effect coming from 1-loop correction of matter fields that couple to the scalar field. As the most serious result we face a cosmological ``constant''…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yasunori Fujii

We consider an extended scalar-tensor theory of gravity where the action has two interacting scalar fields, a Brans-Dicke field which makes the effective Newtonian constant a function of coordinates and a Higgs field which has derivative…

General Relativity and Quantum Cosmology · Physics 2021-01-13 Soumya Chakrabarti

Extensions of the gravity theory in order to obtain traceless field equations have been widely considered in the literature. The leading example of such class of theories is the unimodular gravity, but there are other possibilities like the…

General Relativity and Quantum Cosmology · Physics 2019-12-23 Mahamadou Daouda , J. C. Fabris , A. M. Oliveira , F. Smirnov , H. E. S. Velten

We consider cosmological solutions and their stability with respect to homogeneous and isotropic perturbations in the braneworld model with the scalar-curvature term in the action for the brane. Part of the results are similar to those…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Dmytro Iakubovskyi , Yuri Shtanov

Linearized equations of motion for gravitational and scalar fields are found and solved in a stabilized brane world model in five-dimensional Brans-Dicke theory. The physical degrees of freedom are isolated, the mass spectrum of…

High Energy Physics - Theory · Physics 2009-11-19 A. S. Mikhailov , Yu. S. Mikhailov , M. N. Smolyakov , I. P. Volobuev

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

General Physics · Physics 2011-12-09 Mayeul Arminjon

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