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We study the stability of Schwarzschild-Tangherlini (ST) black holes in fourth-order gravity which provides a higher dimensional linearized massive equation. The linearized-Ricci tensor perturbation is employed to exhibit unstable modes…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Yun Soo Myung

We study regular and black hole solutions to the coupled classical Einstein--Yang-Mills--Higgs system. It has long been thought that black hole solutions in the spontaneously broken phase of such a theory could have no nontrivial field…

High Energy Physics - Theory · Physics 2009-10-22 Brian R. Greene , Samir D. Mathur , Christopher M. O'Neill

General relativity admits a plethora of exact compact object solutions. The augmentation of Einstein's action with non-minimal coupling terms leads to modified theories with rich structure, which, in turn, provide non-trivial solutions with…

General Relativity and Quantum Cosmology · Physics 2022-05-31 Nikos Chatzifotis , Christoforos Vlachos , Kyriakos Destounis , Eleftherios Papantonopoulos

The Generalized SU(2) Proca theory is a vector-tensor theory of gravity whose action is invariant under global transformations of the SU(2) group and includes second-order derivative self-interactions of the vector field beyond the massive…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Gabriel Gomez , Jose F. Rodriguez

We perform a fully relativistic analysis of even-parity linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations. This paper is a sequel to Kobayashi…

General Relativity and Quantum Cosmology · Physics 2018-12-24 Tsutomu Kobayashi , Hayato Motohashi , Teruaki Suyama

We investigate the classical stability of Schwarzschild-AdS black hole in a massive theory of the Einstein-Weyl gravity. It turns out that the linearized Einstein tensor perturbations exhibit unstable modes featuring the Gregory-Laflamme…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Yun Soo Myung

We study linear perturbations of a rotating black hole solution that has been recently discovered in degenerate higher-order scalar-tensor (DHOST) theories. We find a parametrization which permits the explicit resolution of the scalar…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Christos Charmousis , Marco Crisostomi , David Langlois , Karim Noui

Static spherically symmetric black holes are discussed in the framework of higher dimensional gravity with quadratic in curvature terms. Such terms naturally arise as a result of quantum corrections induced by quantum fields propagating in…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Valeri P. Frolov , Ilya L. Shapiro

In this work we construct and analyse non-perturbative stationary and axially-symmetric black hole solutions in General Relativity coupled to an electromagnetic and an axion field. The axion field is coupled to the electromagnetic field,…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Clare Burrage , Pedro G. S. Fernandes , Richard Brito , Vitor Cardoso

We consider axial (or odd-parity) perturbations of non-spinning hairy black holes (BH) in shift-symmetric DHOST (Degenerate Higher-Order Scalar-Tensor) theories, including terms quartic and cubic in second derivatives of the scalar field.…

General Relativity and Quantum Cosmology · Physics 2023-12-12 Karim Noui , Hugo Roussille , David Langlois

We study Proca stars in a vector-tensor gravity model inspired by Horndeski's generalized Einstein-Maxwell field equations, supplemented with a mass term for the vector field. We discuss the effects of the non-minimal coupling term on the…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Y. Brihaye , B. Hartmann , B. Kleihaus , J. Kunz

Exact, analytic, asymptotically flat rotating black-hole solutions are exceedingly rare, with only a handful of examples known. Using a Kerr-Schild ansatz, we derive a multitude of exact, analytic, asymptotically flat rotating black-hole…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Pedro G. S. Fernandes

We show that linear perturbations around the simplest black hole solution of massive bi-gravity theories, the bi-Schwarzschild solution, exhibit an unstable mode featuring the Gregory-Laflamme instability of higher-dimensional black…

General Relativity and Quantum Cosmology · Physics 2013-07-05 Eugeny Babichev , Alessandro Fabbri

We discuss a new perturbation method to study the dynamics of massive vector fields on (near-)extremal static black hole spacetimes. We start with, as our background, a rather generic class of warped product metrics, and classify the field…

General Relativity and Quantum Cosmology · Physics 2019-10-29 Kodai Ueda , Akihiro Ishibashi

On a spherically symmetric and static background, we study the existence of linearly stable black hole (BH) solutions in nonlinear electrodynamics (NED) with a Horndeski vector-tensor (HVT) coupling, with and without curvature singularities…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Che-Yu Chen , Antonio De Felice , Shinji Tsujikawa , Taishi Sano

We construct and analyze BPS black hole solutions in gauged N=2, D=4 supergravity with charged hypermultiplets. A class of solutions can be found through spontaneous symmetry breaking in vacua that preserve maximal supersymmetry. The…

High Energy Physics - Theory · Physics 2011-04-15 Kiril Hristov , Hugo Looyestijn , Stefan Vandoren

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

In Einstein-Aether theories with a timelike unit vector field, we study the linear stability of static and spherically symmetric black holes against both even- and odd-parity perturbations. For this purpose, we formulate a gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Antonio De Felice , Shinji Mukohyama , Shinji Tsujikawa , Anzhong Wang , Chao Zhang

We investigate scalar field perturbations of the hairy black holes involved with spontaneous symmetry breaking of the global U(1) symmetry in Einstein-scalar-Gauss-Bonnet theory for asymptotically flat spacetimes. We consider the mechanism…

High Energy Physics - Theory · Physics 2024-09-04 Young-Hwan Hyun , Boris Latosh , Miok Park

Can a black hole that suffers a superradiant instability evolve towards a 'hairy' configuration which is stable? We address this question in the context of Einstein-charged scalar field theory. First, we describe a family of static black…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Sam R Dolan , Supakchai Ponglertsakul , Elizabeth Winstanley
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