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In the present work, it is shown that an asymptotically flat spherical black hole can have a nontrivial signature of any field for an exterior observer if the energy momentum tensor of the corresponding field is either tracefree or if the…

General Relativity and Quantum Cosmology · Physics 2013-07-08 Narayan Banerjee , Somasri Sen

Through numerical simulations of a minimally coupled massive Klein-Gordon scalar field, we show that it is possible to grow hair on a Schwarzschild black hole if one assumes an initial periodically time-varying but spatially homogeneous…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Katy Clough , Pedro G. Ferreira , Macarena Lagos

We prove three theorems in general relativity which rule out classical scalar hair of static, spherically symmetric, possibly electrically charged black holes. We first generalize Bekenstein's no--hair theorem for a multiplet of minimally…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Avraham E. Mayo , Jacob D. Bekenstein

The Kerr spacetime of spinning black holes is one of the most intriguing predictions of Einstein's theory of general relativity. The special role this spacetime plays in the theory of gravity is encapsulated in the no-hair theorem, which…

High Energy Astrophysical Phenomena · Physics 2009-12-02 Dimitrios Psaltis , Tim Johannsen

We consider a gravitating system of vanishing cosmological constant consisting of an electromagnetic field and a scalar field coupled to the Einstein tensor. A Reissner-Nordstr\"om black hole undergoes a second-order phase transition to a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Theodoros Kolyvaris , George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

In the realm of spacetimes governed by Einstein's general relativity and containing only Maxwell's electromagnetic field, stationary black holes are fully characterized by their mass, electric or magnetic charge, and angular momentum -- a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Romain Gervalle

Recently, one of my articles presented intriguing findings on the superradiant stability of Kerr black holes. These findings drew conclusions that appear to challenge the established ``No Hair Theorem". As is widely known, the ``No Hair…

General Physics · Physics 2023-08-29 Wen-Xiang Chen , Yao-Guang Zheng

We study no-hair properties of static black holes in four and higher dimensional spacetimes with a cosmological constant. For the vanishing cosmological constant case, we show a no-hair theorem and also a no-short-hair theorem under certain…

General Relativity and Quantum Cosmology · Physics 2024-03-29 Akihiro Ishibashi , Satoshi Matsumoto , Yuichiro Yoneo

Spontaneous scalarization of black holes in scalar-Gauss-Bonnet (sGB) gravity is a very interesting phenomenon allowing black holes to circumvent the no-hair theorem and acquire scalar hair while leaving the weak field regime of the theory…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Jutta Kunz , Stoytcho S. Yazadjiev

Originally regarded as forbidden, black hole ``hair'' are fields associated with a stationary black hole apart from the gravitational and electromagnetic ones. Several stable stationary black hole solutions with gauge or Skyrme field hair…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

Several hairy black hole solutions are known to violate the original version of the celebrated no-hair conjecture. This prompted the development of a new theorem that establishes a universal lower bound on the extension of hairs outside any…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Rajes Ghosh , Selim Sk , Sudipta Sarkar

Black holes in certain modified gravity theories that contain a scalar field coupled to curvature invariants are known to possess (monopole) scalar hair while non-black-hole spacetimes (like neutron stars) do not. Therefore, as a neutron…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Abhishek Hegade K. R. , Elias R. Most , Jorge Noronha , Helvi Witek , Nicolas Yunes

We review the black hole solutions of the ghost-free massive gravity theory and its bimetric extension and outline the main results on the stability of these solutions against small perturbations. Massive (bi)-gravity accommodates exact…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Eugeny Babichev , Richard Brito

It was recently shown that a scalar field suitably coupled to the Gauss-Bonnet invariant $\mathcal{G}$ can undergo a spin-induced linear tachyonic instability near a Kerr black hole. This instability appears only once the dimensionless spin…

General Relativity and Quantum Cosmology · Physics 2021-01-11 Carlos A. R. Herdeiro , Eugen Radu , Hector O. Silva , Thomas P. Sotiriou , Nicolás Yunes

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

Within a framework requiring a well-defined event horizon and matter obeying the weak energy condition, we employ gravitational decoupling method to construct non-singular hairy black holes: spherically or axially symmetric. These solutions…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Zhenglong Ban , Tian-You Ren , Jia-Jun Yin , Rong-Jia Yang

We study dynamic processes through which the scalar hair of black holes is generated or detached in a theory with a scalar field non-minimally coupled to Gauss-Bonnet and Ricci scalar invariants. We concentrate on the nonlinear temporal…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Yunqi Liu , Cheng-Yong Zhang , Wei-Liang Qian , Kai Lin , Bin Wang

Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black holes predicted by…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hector O. Silva , Caio F. B. Macedo , Thomas P. Sotiriou , Leonardo Gualtieri , Jeremy Sakstein , Emanuele Berti

Recent developments in the field of gravitational physics, including the emergence of gravitational wave astronomy, black hole images, and more accurate telescopes, have allowed us to probe the strong-field character of gravity in a novel…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Georgios Antoniou

The no-short hair theorem for static spherically symmetric black holes in general theory of relativity asserts that if a black hole has hair, that hair must extend beyond the lowest photon sphere radius of the black hole. This report…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Mandas Biswas