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We investigate the possibility of spontaneous scalarization of static, spherically symmetric, and asymptotically flat black holes (BHs) in the Horndeski theory. Spontaneous scalarization of BHs is a phenomenon that the scalar field…

广义相对论与量子宇宙学 · 物理学 2019-05-31 Masato Minamitsuji , Taishi Ikeda

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

高能物理 - 理论 · 物理学 2010-11-19 S. Mignemi , D. L. Wiltshire

We study static spherically symmetric solutions to the vacuum field equations of quadratic gravity in the presence of a cosmological constant $\Lambda$. Motivated by the trace no-hair theorem, we assume the Ricci scalar to be constant…

广义相对论与量子宇宙学 · 物理学 2021-03-26 Vojtech Pravda , Alena Pravdova , Jiri Podolsky , Robert Svarc

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

广义相对论与量子宇宙学 · 物理学 2008-11-07 S. Deser , O. Sarioglu , B. Tekin

The Schwarzschild solution is a complete solution of Einstein's field equations for a static spherically symmetric field. The Einstein's field equations solutions appear in the literature, but in different ways corresponding to different…

广义相对论与量子宇宙学 · 物理学 2014-05-05 Iftikhar Ahmad , Maqsoom Fatima , Najam-ul-Basat

We derive a family of exact solutions for bi-metric gravity with an exchange symmetry between the two metrics. In this two-parameter family of solutions the gravitational field is sourced by a time-independent massless scalar field. We find…

广义相对论与量子宇宙学 · 物理学 2016-10-03 S. Hossenfelder

We construct two solutions of the minimally coupled Einstein-scalar field equations, representing regular deformations of Schwarzschild black holes by a self-interacting, static, scalar field. One solution features an exponentially decaying…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Helge Dennhardt , Olaf Lechtenfeld

The Schwarzschild solution is generalized for the case of n internal Ricci-flat spaces. It is shown that in the four-dimensional section of the metric a horizon exists only when the internal space scale factors are constant. The…

广义相对论与量子宇宙学 · 物理学 2011-04-19 V. D. Ivashchuk

We find spherically symmetric and static black holes in shift-symmetric Horndeski and beyond Horndeski theories. They are asymptotically flat and sourced by a non trivial static scalar field. The first class of solutions is constructed in…

广义相对论与量子宇宙学 · 物理学 2017-07-25 Eugeny Babichev , Christos Charmousis , Antoine Lehébel

Rastall's theory belongs to the class of non-conservative theories of gravity. In vacuum, the only non-trivial static, spherically symmetric solution is the Schwarzschild one, except in a very special case. When a canonical scalar field is…

广义相对论与量子宇宙学 · 物理学 2017-03-03 K. A. Bronnikov , J. C. Fabris , O. F. Piattella , E. C. Santos

We study the perturbations to General Relativistic black holes (i.e. those without scalar hair) in Horndeski scalar-tensor gravity. First, we derive the equations of odd and even parity perturbations of both the metric and scalar field in…

广义相对论与量子宇宙学 · 物理学 2018-05-30 Oliver J. Tattersall , Pedro G. Ferreira

We apply a recently developed 2+1+1 decomposition of spacetime, based on a nonorthogonal double foliation for the study of spherically symmetric, static black hole solutions of Horndeski scalar-tensor theory. Our discussion proceeds in an…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Cecília Nagy , Zoltán Keresztes , László Á. Gergely

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

广义相对论与量子宇宙学 · 物理学 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

We present a class of exact scalar-tensor black holes for a shift-symmetric part of the Horndeski action. The action includes a higher order scalar tensor interaction term. We find that for a static and spherically symmetric space-time, the…

广义相对论与量子宇宙学 · 物理学 2014-09-11 Eugeny Babichev , Christos Charmousis

We show that, unlike vacuum General Relativity, Einstein-scalar theories allow balanced static, neutral, asymptotically flat, double-black hole solutions, for scalar field models minimally coupled to gravity, with appropriate…

广义相对论与量子宇宙学 · 物理学 2023-03-29 Carlos A. R. Herdeiro , Eugen Radu

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

广义相对论与量子宇宙学 · 物理学 2025-02-21 S. Habib Mazharimousavi

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

广义相对论与量子宇宙学 · 物理学 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

We consider a scalar field coupled to the torsion in Teleparallel Gravity with a coupling function that does not allow for a tachyonic instability to occur, and it leads to the formation of new black holes with scalar hair. The scalarized…

广义相对论与量子宇宙学 · 物理学 2025-02-06 P. A. González , Eleftherios Papantonopoulos , Joaquín Robledo , Yerko Vásquez

We find and study the properties of black hole solutions for a subclass of Horndeski theory including the cubic Galileon term. The theory under study has shift symmetry but not reflection symmetry for the scalar field. The Galileon is…

广义相对论与量子宇宙学 · 物理学 2016-09-07 Eugeny Babichev , Christos Charmousis , Antoine Lehébel , Tetiana Moskalets

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…

广义相对论与量子宇宙学 · 物理学 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa
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