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We derive field equations of Gauss-Bonnet gravity in 4 dimensions after dimensional reduction of the action and demonstrate that in this scenario Vainshtein mechanism operates in the flat spherically symmetric background. We show that…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Radouane Gannouji , M. Sami

The spherically symmetric static solutions are searched for in some f(T) models of gravity theory with a Maxwell term. To do this, we demonstrate that reconstructing the Lagrangian of f(T) theories is sensitive to the choice of frame, and…

General Relativity and Quantum Cosmology · Physics 2011-08-11 Tower Wang

We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Daisuke Yoshida , Robert H. Brandenberger

We have recently proposed a special class of scalar tensor theories known as the Fab Four. These arose from attempts to analyse the cosmological constant problem within the context of Horndeski's most general scalar tensor theory. The Fab…

High Energy Physics - Theory · Physics 2013-05-30 Christos Charmousis , Edmund J. Copeland , Antonio Padilla , Paul M. Saffin

We study how the Vainshtein mechanism operates in the most general scalar-tensor theories with second-order equations of motion. The field equations of motion, which can be also applicable to most of other screening scenarios proposed in…

General Relativity and Quantum Cosmology · Physics 2013-09-02 Ryotaro Kase , Shinji Tsujikawa

It was previously found that in a certain parameter subspace of scalar-tensor theories emerging from massive gravity, the only stable field configuration created by static spherically symmetric sources was one with cosmological asymptotics.…

High Energy Physics - Theory · Physics 2015-06-15 L. Berezhiani , G. Chkareuli , C. de Rham , G. Gabadadze , A. J. Tolley

We discuss the possibilities of experimental search for new physics predicted by the Gauss-Bonnet and the Randall-Sundrum theories of gravity. The effective four-dimensional spherically-symmetrical solutions of these theories are analyzed.…

General Relativity and Quantum Cosmology · Physics 2015-05-21 S. O. Alexeyev , K. A. Rannu , P. I. Dyadina , B. N. Latosh , S. G. Turyshev

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$ formalisms unifying local constraints at the Solar System level and the…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Bogdan Danila , Tiberiu Harko , Francisco S. N. Lobo , Man Kwong Mak

We present here a quantum cosmological model with Bohm-de Broglie interpretation of the theory described by a combination of two terms of the Fab Four cosmological theory. The first term is the John Lagrangian and the second is a potential…

General Relativity and Quantum Cosmology · Physics 2019-10-15 Isaac Torres , Júlio César Fabris , Oliver Fabio Piattella

The 4-dimensional effective theory arising from an induced gravity action for a co-dimension greater than one brane consists of multiple galileon fields pi^I, I=1...N, invariant under separate Galilean transformations for each scalar, and…

High Energy Physics - Theory · Physics 2011-03-04 Melinda Andrews , Kurt Hinterbichler , Justin Khoury , Mark Trodden

Spherically symmetric static empty space solutions are studied in f(R) theories of gravity. We reduce the set of modified Einstein's equations to a single equation and show how one can construct exact solutions in different f(R) models. In…

Astrophysics · Physics 2009-11-11 Tuomas Multamaki , Iiro Vilja

Bouncing non-singular isotropic cosmological solutions are investigated in a simple model of scalar-tensor gravity. New families of such solutions are found and their properties are presented and analyzed using an effective potential as the…

General Relativity and Quantum Cosmology · Physics 2022-01-28 D. Polarski , A. A. Starobinsky , Y. Verbin

Spherically symmetric solutions in F(R) theories in astronomical systems with rising energy density are studied. The range of parameters is established for which the flat space-time approximation for the background metric is valid. For the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 E. V. Arbuzova , A. D. Dolgov , L. Reverberi

We explore the space of spherically symmetric, static solutions in the decoupling limit of a class of non-linear covariant extensions of Fierz-Pauli massive gravity obtained recently in arXiv:1007.0443. In general, several such solutions…

High Energy Physics - Theory · Physics 2015-05-28 Giga Chkareuli , David Pirtskhalava

We study a general field theory of a scalar field coupled to gravity through a quadratic Gauss-Bonnet term $\xi(\phi) R^2_{GB}$. The coupling function has the form $\xi(\phi)=\phi^n$, where $n$ is a positive integer. In the absence of the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 P. Kanti , J. Rizos , K. Tamvakis

In this communication we discuss the Weak Field Approach, and in particular the Newtonian limit, applied to f(R)-Gravity. Particular emphasis is placed on the spherically symmetric solutions and finally, it is clearly shown that General…

General Relativity and Quantum Cosmology · Physics 2010-10-04 A. Stabile , S. Capozziello

Horndeski's theory of gravity is the most general scalar-tensor theory with a single scalar whose equations of motion contain at most second-order derivatives. A subsector of Horndeski's theory known as "Fab Four" gravity allows for…

General Relativity and Quantum Cosmology · Physics 2016-06-29 Andrea Maselli , Hector O. Silva , Masato Minamitsuji , Emanuele Berti

Regular bouncing solutions in the framework of a scalar-tensor gravity model were found in a recent work. We reconsider the problem in the Einstein frame (EF) in the present work. Singularities arising at the limit of physical viability of…

General Relativity and Quantum Cosmology · Physics 2015-10-21 B. Boisseau , H. Giacomini , D. Polarski

The effective four-dimensional, linearised gravity of a brane world model with one extra dimension and a single brane is analysed. The model includes higher order curvature terms (such as the Gauss-Bonnet term) and a conformally coupled…

High Energy Physics - Theory · Physics 2009-11-10 Stephen C. Davis
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