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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

We study in detail static spherically symmetric solutions of non linear Pauli-Fierz theory. We obtain a numerical solution with a constant density source. This solution shows a recovery of the corresponding solution of General Relativity…

General Relativity and Quantum Cosmology · Physics 2010-11-11 E. Babichev , C. Deffayet , R. Ziour

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 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 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 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

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 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

We reinvestigate the fate of the Vainhstein mechanism in the minimal model of dRGT massive gravity. As the latter is characterised by the complete absence of interactions in the decoupling limit, we study their structure at higher energies.…

High Energy Physics - Theory · Physics 2015-06-18 Sebastien Renaux-Petel

In second-order scalar-tensor theories we study how the Vainshtein mechanism works in a spherically symmetric background with a matter source. In the presence of the field coupling $F(\phi)=e^{-2Q\phi}$ with the Ricci scalar $R$ we…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

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

We study the stability of the Vainshtein screening solution of the massive/bi-gravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the…

High Energy Physics - Theory · Physics 2016-09-30 Katsuki Aoki , Shuntaro Mizuno

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 introduce the Vainshtein mechanism which plays a crucial role in massive gravities, as well as in related theories such as Galileons and their extensions. This mechanism, also known as k-mouflage, allows to hide via non linear effects -…

General Relativity and Quantum Cosmology · Physics 2013-09-10 Eugeny Babichev , Cedric Deffayet

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

In theories of massive gravity with Fierz-Pauli mass term at the linearized level, perturbative radially symmetric asymptotic solutions are singular in the zero mass limit, hence van Dam-Veltman-Zakharov (vDVZ) discontinuity. In this note,…

High Energy Physics - Theory · Physics 2020-05-13 Zurab Kakushadze

The Vainshtein mechanism suppresses the fifth force at astrophysical distances, while enabling it to compete with gravity at cosmological scales. Typically, Vainshtein solutions exhibit superluminal perturbations. However, a restricted…

High Energy Physics - Theory · Physics 2015-06-17 Gregory Gabadadze , Rampei Kimura , David Pirtskhalava

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 study static spherically symmetric solutions of massive bi-gravity theory, free from the Boulware-Deser ghost. We show the recovery of General Relativity via the Vainshtein mechanism, in the weak limit of the physical metric. We find a…

General Relativity and Quantum Cosmology · Physics 2013-11-22 Eugeny Babichev , Marco Crisostomi

We study relativistic stars in Hordenski theories that evade the gravitational wave constraints and exhibit the Vainshtein mechanism, focusing on a model based on the cubic Galileon Lagrangian. We derive the scalar field profile for static…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Hiromu Ogawa , Tsutomu Kobayashi , Kazuya Koyama
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