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In a class of Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories, we derive both vacuum and interior Schwarzschild solutions under the condition that the derivatives of a scalar field $\phi$ with respect to the radius $r$ vanish. If the…

General Relativity and Quantum Cosmology · Physics 2015-12-29 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

In Gleyzes-Langlois-Piazza-Vernizzi (GLPV) scalar-tensor theories, which are outside the domain of second-order Horndeski theories, it is known that there exists a solid angle deficit singularity in the case where the parameter $\alpha_{\rm…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

In the approach of the effective field theory of modified gravity, we derive the equations of motion for linear perturbations in the presence of a barotropic perfect fluid on the flat isotropic cosmological background. In a simple version…

General Relativity and Quantum Cosmology · Physics 2015-05-29 Antonio De Felice , Kazuya Koyama , Shinji Tsujikawa

Screening mechanisms are essential features of dark energy models mediating a fifth force on large scales. We study the regime of strong scalar field nonlinearities, known as Vainshtein screening, in the most general scalar-tensor theories…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Alexandru Dima , Filippo Vernizzi

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

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

In general relativity with vector and scalar fields given by the Lagrangian ${\cal L}(F,\phi,X)$, where $F$ is a Maxwell term and $X$ is a kinetic term of the scalar field $\phi$, we study the linear stability of static and spherically…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Antonio De Felice , Shinji Tsujikawa

There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly…

General Relativity and Quantum Cosmology · Physics 2024-08-27 O. S. Stashko , V. I. Zhdanov

We study the Vainshtein screening mechanism in Horndeski theories in the presence of a scalar field $\phi$ nonminimally and kinetically coupled to ordinary matter field. A general interacting Lagrangian describing this coupling is…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Kitaro Taniguchi , Ryotaro Kase

It is known that Horndeski theories can be transformed to a sub-class of Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories under the disformal transformation of the metric $g_{\mu \nu} \to \Omega^2(\phi)g_{\mu \nu}+\Gamma (\phi,X)…

High Energy Physics - Theory · Physics 2015-04-28 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

The so-called hybrid metric-Palatini theory of gravity (HMPG), proposed in 2012 by T. Harko et al., is known to successfully describe both local (solar-system) and cosmological observations. This paper gives a complete description of…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov

Singularities in $(3+1)$-dimensional Horava-Lifshitz (HL) theory of gravity are studied. These singularities can be divided into scalar, non-scalar curvature, and coordinate singularities. Because of the foliation-preserving diffeomorphisms…

High Energy Physics - Theory · Physics 2010-04-29 Rong-Gen Cai , Anzhong Wang

We study the nature of constraints and the Hamiltonian structure in a scalar-tensor theory of gravity recently proposed by Gleyzes, Langlois, Piazza and Vernizzi (GLPV). For the simple case with A_5 = 0, namely when the canonical momenta…

High Energy Physics - Theory · Physics 2015-06-22 Chunshan Lin , Shinji Mukohyama , Ryo Namba , Rio Saitou

We discuss vacuum static, spherically symmetric asymptotically flat solutions of the generalized hybrid metric-Palatini theory of gravity (generalized HMPG) suggested by B\"ohmer and Tamanini, involving both a metric $g_{\mu\nu}$ and an…

General Relativity and Quantum Cosmology · Physics 2023-11-14 K. A. Bronnikov , S. V. Bolokhov , M. V. Skvortsova

We study linear perturbations about static and spherically symmetric black holes with a time-independent background scalar field in shift-symmetric Horndeski theories, whose Lagrangian is characterized by coupling functions depending only…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

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 study static symmetric solutions in the context of a gravitational theory based on a action-dependent Lagrangian. Such theory has been designed as a setup to implement dissipative effects into the traditional principle of least action.…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Julio C. Fabris , Hermano Velten , Aneta Wojnar

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 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
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