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In 1981 Wyman classified the solutions of the Einstein--Klein--Gordon equations with static spherically symmetric spacetime metric and vanishing scalar potential. For one of these classes, the scalar field linearly grows with time. We…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Edgardo Franzin , Ivica Smolić

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

A no-hair theorem for spherical black holes in scalar-tensor gravity is presented. Contrary to the existing theorems, which are proved in the Einstein conformal frame, this proof is performed entirely in the Jordan frame. The theorem is…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Valerio Faraoni

We consider black holes in Lorentz violating theories of massive gravity. We argue that in these theories black hole solutions are no longer universal and exhibit a large number of hairs. If they exist, these hairs probe the singularity…

High Energy Physics - Theory · Physics 2008-11-26 Sergei Dubovsky , Peter Tinyakov , Matias Zaldarriaga

Recently, the Event Horizon Telescope collaboration has reported the first image of the supermassive black hole Sagittarius in the Galactic Center. We attempt to test the validity of the no-hair theorem of black holes using this new shadow…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Deng Wang

We study the existence of hairy black holes in the generalized Einstein-Skyrme model. It is proven that in the BPS model limit there are no hairy black hole solutions, although the model admits gravitating (and flat space) solitons.…

High Energy Physics - Theory · Physics 2016-09-20 C. Adam , O. Kichakova , Ya. Shnir , A. Wereszczynski

This is a brief survey of the known black hole solutions in the theories of ghost-free bigravity and massive gravity. Various black holes exist in these theories, in particular those supporting a massive graviton hair. However, it seems…

High Energy Physics - Theory · Physics 2015-06-19 Mikhail S. Volkov

Using gravitational decoupling under the requirements of a well-defined event horizon and the source matter satisfying the weak energy condition, we construct nonsingular hairy black holes with spherical or axial symmetry. These solutions…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Yaobin Hua , Rong-Jia Yang

Using a sigma model formulation of the field equations as on a two-dimensional manifold we provide the proof of a black hole uniqueness solution in N=4, d=4 supergravity subject to certain boundary conditions. We considered the black hole…

High Energy Physics - Theory · Physics 2009-10-31 Marek Rogatko

This work proposes a set of equations that can be used to numerically compute spacetimes containing a stationary black hole. The formalism is based on the 3+1 decomposition of General Relativity with maximal slicing and spatial harmonic…

General Relativity and Quantum Cosmology · Physics 2022-05-17 Philippe Grandclément , Jordan Nicoules

Twenty years have passed since the discovery of the accelerated expansion of the Universe, reviving the interest for alternative theories of gravity. Adding a scalar degree of freedom to the usual metric of general relativity is one of the…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Antoine Lehébel

We demonstrate linear stability of the dilatonic Black Holes appearing in a string-inspired higher-derivative gravity theory with a Gauss- Bonnet curvature-squared term. The proof is accomplished by mapping the system to a one-dimensional…

High Energy Physics - Theory · Physics 2009-10-30 P. Kanti , N. E. Mavromatos , J. Rizos , K. Tamvakis , E. Winstanley

To what extent are all astrophysical, dark, compact objects both black holes (BHs) and described by the Kerr geometry? We embark on the exercise of defying the universality of this remarkable idea, often called the "Kerr hypothesis". After…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Carlos A. R. Herdeiro

We generalize a class of magnetically charged black holes holes non-minimally coupled to two scalar fields previously found by one of us [gr-qc/9910041] to the case of multiple scalar fields. The black holes possess a novel type of primary…

High Energy Physics - Theory · Physics 2007-05-23 S. Mignemi , D. L. Wiltshire

Test of the no-hair theorem is the primary target with gravitational waves from binary black holes. In this Letter, we analyze gravitational-wave data from the LIGO-Virgo-KAGRA detection of binary black-hole mergers using the PSI_FD model,…

General Relativity and Quantum Cosmology · Physics 2023-12-06 Song Li , Wen-Biao Han , Shu-Cheng Yang

In arXiv:1310.3002, Lee and Neves proved a Penrose inequality for spacetimes with negative cosmological constant and nonpositive mass aspect. As an application, they were able to obtain a static uniqueness theorem for Kottler spacetimes…

Differential Geometry · Mathematics 2022-03-10 Stefano Borghini

We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their ``rod structures'' coincide. We also show that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands , Stoytcho Yazadjiev

We study Kerr black holes with synchronised non-trivial parity-odd massive scalar hair in four dimensional asymptotically flat space-time. These axially symmetric stationary spinning solutions of the minimally coupled Einstein-Klein-Gordon…

General Relativity and Quantum Cosmology · Physics 2019-09-25 J. Kunz , I. Perapechka , Ya. Shnir

Quantum theory on manifolds with boundaries have been studied extensively through von Neumann analysis of self adjoint operators. We approach the issues through introduction of singular $\delta$ and $\delta'$ potentials. The advantages of…

Mathematical Physics · Physics 2016-10-11 T R Govindarajan , J. M. Munoz-Castaneda

We consider a general Einstein-scalar-GB theory with a coupling function f(\phi). We demonstrate that black-hole solutions appear as a generic feature of this theory since a regular horizon and an asymptotically-flat solution may be easily…

High Energy Physics - Theory · Physics 2018-04-04 G. Antoniou , A. Bakopoulos , P. Kanti
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