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Scalar forces "screened" by the Vainshtein mechanism may hold the key to understanding the cosmological expansion of our universe, while predicting new and exciting features in the interaction between massive bodies. Here we explore the…

High Energy Physics - Theory · Physics 2014-12-17 Richard Brito , Alexandra Terrana , Matthew Johnson , Vitor Cardoso

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 investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost free non-linear completion of Fierz-Pauli. We analyse the conditions to recover general relativity via Vainshtein mechanism in the…

High Energy Physics - Theory · Physics 2011-11-04 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

We study the Vainshtein mechanism in the context of slowly rotating stars in scalar-tensor theories. While the Vainshtein screening is well established for spherically symmetric spacetimes, we examine its validity in the axisymmetric case…

General Relativity and Quantum Cosmology · Physics 2020-08-28 Timothy Anson , Eugeny Babichev

We present a non-linear analysis of perturbations around cosmological solutions in Generalised Massive gravity. This Lorentz invariant theory is an extension of de Rham, Gabadadze, Tolley massive gravity that propagates $5$ degrees of…

High Energy Physics - Theory · Physics 2021-09-22 A. Emir Gumrukcuoglu , Rampei Kimura , Michael Kenna-Allison , Kazuya Koyama

We explore the possibility of testing modified gravity exhibiting the Vainshtein mechanism against observations of cluster lensing. We work in the most general scalar-tensor theory with second-order field equations (Horndeski's theory), and…

Cosmology and Nongalactic Astrophysics · Physics 2013-06-14 Tatsuya Narikawa , Tsutomu Kobayashi , Daisuke Yamauchi , Ryo Saito

Here I develop the simplest method in order to evaluate whether or not the Vainshtein mechanism can operate for a given set of parameters in a given solution. The method is based on the formulation of the mechanism in terms of the…

General Relativity and Quantum Cosmology · Physics 2015-07-15 Ivan Arraut

We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of the Fierz-Pauli theory. There is a branch of solutions that exhibits the Vainshtein mechanism,…

High Energy Physics - Theory · Physics 2011-11-04 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

Scalar field theories that possess a Vainshtein mechanism are able to dynamically suppress the associated fifth forces in the presence of massive sources through derivative non-linearities. The resulting equations of motion for the scalar…

General Relativity and Quantum Cosmology · Physics 2015-08-18 Jolyon K. Bloomfield , Clare Burrage , Anne-Christine Davis

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

We investigate static spherically symmetric solutions of nonlinear massive gravities. We first identify, in an ansatz appropriate to the study of those solutions, the analog of the decoupling limit (DL) that has been used in the Goldstone…

High Energy Physics - Theory · Physics 2009-05-29 E. Babichev , C. Deffayet , R. Ziour

We study static, spherically symmetric solutions in a recently proposed ghost-free model of non-linear massive gravity. We focus on a branch of solutions where the helicity-0 mode can be strongly coupled within certain radial regions,…

High Energy Physics - Theory · Physics 2018-05-18 Fulvio Sbisà , Gustavo Niz , Kazuya Koyama , Gianmassimo Tasinato

Theories of modified gravity, in both the linear and fully non-linear regime, are often studied under the assumption that the evolution of the new (often scalar) degree of freedom present in the theory is quasi-static. This approximation…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Hans A. Winther , Pedro G. Ferreira

We compute the scalar gravitational radiation from a binary pulsar system in the simplest model that exhibits the Vainshtein mechanism. The mechanism is successful in screening the effect from scalar fields conformally coupled to matter,…

General Relativity and Quantum Cosmology · Physics 2013-03-14 Claudia de Rham , Andrew J. Tolley , Daniel H. Wesley

One of the most pressing questions in modified gravity is how deviations from general relativity can manifest in upcoming galaxy surveys. This is especially relevant for theories exhibiting Vainshtein screening, where such deviations are…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-10 Clare Burrage , Johannes Dombrowski , Daniela Saadeh

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

Assuming static and spherically symmetric spacetimes in the ghost-free bigravity theory, we find a relativistic star solution, which is very close to that in general relativity. The coupling constants are classified into two classes: Class…

General Relativity and Quantum Cosmology · Physics 2016-03-30 Katsuki Aoki , Kei-ichi Maeda , Makoto Tanabe

We investigate the observational consequences of scalar instabilities in bimetric theory, under the assumption that the Vainshtein mechanism restores general relativity within a certain distance from gravitational sources. We argue that…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-28 Edvard Mortsell , Jonas Enander

Starting from the general Horndeski action, we derive the most general effective theory for scalar perturbations around flat space that allows us to screen fifth forces via the Vainshtein mechanism. The effective theory is described by a…

High Energy Physics - Theory · Physics 2013-08-09 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

We obtain static, spherically symmetric, and asymptotically flat numerical solutions of massive gravity with a source. Those solutions show, for the first time explicitly, a recovery of the Schwarzschild solution of General Relativity via…

General Relativity and Quantum Cosmology · Physics 2010-04-23 E. Babichev , C. Deffayet , R. Ziour
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