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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…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

Existence check of non-trivial, stationary axisymmetric black hole solutions in Brans-Dicke theory of gravity in different direction from those of Penrose, Thorne and Dykla, and Hawking is performed. Namely, working directly with the known…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Hongsu Kim

Generalization of a known theorem to generate static, spherically symmetric black-hole solutions in higher dimensional Lovelock gravity is presented. Particular limits, such as Gauss-Bonnet (GB) and/or Einstein-Hilbert (EH) in any dimension…

General Relativity and Quantum Cosmology · Physics 2010-01-06 S. Habib Mazharimousavi , O. Gurtug , M. Halilsoy

We present a review on Lagrangian models admitting spherically symmetric regular black holes, and cosmological bounce solutions. Non-linear electrodynamics, non-polynomial gravity, and fluid approaches are explained in details. They consist…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Aimeric Colléaux , Stefano Chinaglia , Sergio Zerbini

The specific nonlinear vector $\sigma$-model coupled to Einstein gravity is investigated. The model arises in the studies of the gravitating matter in non-commutative geometry. The static spherically symmetric spacetimes are identified by…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

We provide a methodology to obtain black hole (BH) solutions in Ho\v{r}ava gravity (HG) and Einstein Aether (AE) theory for the spherically symmetric (SS) case with a static aether. This methodology consists of first specifying the form of…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Milko Estrada

We present spherically symmetric black hole solutions for Einstein gravity coupled to anisotropic matter. We show that these black holes have arbitrarily short hair, and argue for stability by showing that they can arise from dynamical…

General Relativity and Quantum Cosmology · Physics 2009-10-30 David Brown , Viqar Husain

General Relativity minimally coupled to a massive, free, complex scalar field, is shown to allow asymptotically flat solutions, non-singular on and outside the event horizon, describing two spinning black holes (2sBHs) in equilibrium, with…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Carlos A. R. Herdeiro , Eugen Radu

The most general action for a scalar field coupled to gravity that leads to second order field equations for both the metric and the scalar --- Horndeski's theory --- is considered, with the extra assumption that the scalar satisfies shift…

General Relativity and Quantum Cosmology · Physics 2014-08-13 Thomas P. Sotiriou , Shuang-Yong Zhou

We study 4-dimensional charged and static black holes in a generalized scalar-tensor gravity model, in which a shift symmetry for the scalar field exists. For vanishing scalar field the solution corresponds to the Reissner-Nordstr\"om (RN)…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Yves Brihaye , Betti Hartmann

In this paper, we study static and spherically symmetric black hole (BH) solutions in the scalar-tensor theories with the coupling of the scalar field to the Gauss-Bonnet (GB) term $\xi (\phi) R_{\rm GB}$, where $R_{\rm…

General Relativity and Quantum Cosmology · Physics 2019-02-14 Masato Minamitsuji , Taishi Ikeda

The phenomenon of spontaneous scalarisation of charged black holes (BHs) has recently motivated studies of various Einstein-Maxwell-scalar models. Within these models, different classes of BH solutions are possible, depending on the…

General Relativity and Quantum Cosmology · Physics 2020-05-25 Jose Luis Blázquez-Salcedo , Carlos A. R. Herdeiro , Jutta Kunz , Alexandre M. Pombo , Eugen Radu

We show that the integral method used to prove the no-hair theorem for Black Holes (BH's) in spherically symmetric and static spacetimes within the framework of general relativity with matter composed by a complex-valued scalar-field does…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Gustavo Garcia , Marcelo Salgado

Black hole solutions in general scalar-tensor theories are known to permit hair, i.e. non-trivial scalar profiles and/or metric solutions different from the ones of General Relativity (GR). Imposing that some such…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Hajime Kobayashi , Shinji Mukohyama , Johannes Noller , Sergi Sirera , Kazufumi Takahashi , Vicharit Yingcharoenrat

The static spherically symmetric ``black hole solution" of the Einstein - conformally invariant massless scalar field equations known as the BBMB ( Bocharova, , Bronikov, Melinkov, Bekenstein) black hole is critically examined. It is shown…

General Relativity and Quantum Cosmology · Physics 2010-11-19 D. Sudarsky , T. Zannias

Black hole solutions are explored in the Lorentz gauge theory of gravity. The fields of the theory are the gauge potential in the adjoint and a scalar in the fundamental representation of the Lorentz group, a metric tensor then emerging as…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Tomi S. Koivisto , Luxi Zheng

We construct rotating boson stars and Myers-Perry black holes with scalar hair (MPBHsSH) as fully non-linear solutions of five dimensional Einstein gravity minimally coupled to a complex, massive scalar field. The MPBHsSH are, in general,…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Carlos Herdeiro , Jutta Kunz , Eugen Radu , Bintoro Subagyo

By consideration of a Einstein-dilaton non-linear charged gravitating system, it has been shown that this theory is confronted with the problem of indeterminacy. It means that the number of independent differential equations is one less…

General Relativity and Quantum Cosmology · Physics 2023-01-23 Mohsen Dehghani

We associated, in a classical formulation of "strong gravity", hadron constituents with suitable stationary, axisymmetric solutions of some new Einstein-type equations supposed to describe the strong field inside hadrons. These new…

Mathematical Physics · Physics 2010-01-31 E. Recami , V. Tonin-Zanchin , A. Del Popolo , M. Gambera

A numerical analysis shows that a class of scalar-tensor theories of gravity with a scalar field minimally and nonminimally coupled to the curvature allows static and spherically symmetric black hole solutions with scalar-field hair in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ulises Nucamendi , Marcelo Salgado
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