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We finish the proof of the no-hair theorem for stationary, analytic, connected, suitably regular, four dimensional vacuum black holes. We show how to define the surface gravity and the angular velocity of horizons without assuming…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Piotr T. Chruściel

We investigate the statistical behaviors of 3D hairy black holes in the presence of a scalar field. The present study is made in terms of two relevant parameters: rotation parameter a and B parameter related to the scalar field. More…

High Energy Physics - Theory · Physics 2014-12-30 A. Belhaj , M. Chabab , H. EL Moumni , K. Masmar , M. B. Sedra

We present a proof of the no hair theorems corresponding to free massive non-perturbative Pauli-Fierz spin-2 and perturbative massive spin-1/2 fields for stationary axisymmetric de Sitter black hole spacetimes of dimension four with two…

General Relativity and Quantum Cosmology · Physics 2012-12-10 Sourav Bhattacharya , Amitabha Lahiri

Stealth field configurations by definition have a vanishing energy-momentum tensor, thus do not contribute to the gravitational field equations. While only trivial fields can be stealth in Maxwell's electrodynamics, nontrivial stealth…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Ivica Smolić

We show that scalar hair can be added to rotating, vacuum black holes of general relativity. These hairy black holes (HBHs) clarify a lingering question concerning gravitational solitons: if a black hole can be added at the centre of a…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Carlos A. R. Herdeiro , Eugen Radu

We construct a family of asymptotically flat, rotating black holes with scalar hair and a regular horizon, within five dimensional Einstein's gravity minimally coupled to a complex, massive scalar field doublet. These solutions are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yves Brihaye , Carlos Herdeiro , Eugen Radu

In the light of the "no-hair" conjecture, we revisit stable black holes in su(N) Einstein-Yang-Mills theory with a negative cosmological constant. These black holes are endowed with copious amounts of gauge field hair, and we address the…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Ben L. Shepherd , Elizabeth Winstanley

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

We prove a no Cauchy horizon theorem for general nonlinear electrodynamics black holes with charged scalar hairs. By constructing a radially conserved charged, we show that there is no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Yu-Sen An , Li Li , Fu-Guo Yang

We study the global structure of some exact scalar hairy dynamical black holes which were constructed in Einstein gravity either minimally or non-minimally coupled to a scalar field. We find that both the apparent horizon and the local…

High Energy Physics - Theory · Physics 2016-06-09 Zhong-Ying Fan , Bin Chen , Hong Lu

In the presence of a complex scalar field scalar-tensor theory allows for scalarized rotating hairy black holes. We exhibit the domain of existence for these scalarized black holes, which is bounded by scalarized rotating boson stars and…

General Relativity and Quantum Cosmology · Physics 2015-04-24 Burkhard Kleihaus , Jutta Kunz , Stoytcho Yazadjiev

According to the general-relativistic no-hair theorem, astrophysical black holes depend only on their masses and spins and are uniquely described by the Kerr metric. Mass and spin are the first two multipole moments of the Kerr spacetime…

High Energy Astrophysical Phenomena · Physics 2016-05-27 Tim Johannsen

Nonrotating and rotating black hole soltuions in (2+1) dimensions are studied in a model including a real scalar field with a simple potential coupled to gravity.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yoshitaka Degura , Kenji Sakamoto , Kiyoshi Shiraishi

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

An old result ({\tt astro-ph/9905303}) by Jacobson implies that a black hole with Schwarzschild radius $r_s$ acquires scalar hair, $Q \propto r_s^2 \mu$, when the (canonically normalized) scalar field in question is slowly time-dependent…

General Relativity and Quantum Cosmology · Physics 2015-06-03 M. W. Horbatsch , C. P. Burgess

The Israel-Carter theorem (also known as the "no-hair theorem") puts a restriction on the existence of parameters other than mass, electric charge, and angular momentum of a black hole. In this context, Bekenstein proposed no-hair theorems…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Muhammed Shafeeque , Malay K. Nandy

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…

General Relativity and Quantum Cosmology · Physics 2022-05-03 Masato Minamitsuji , Kazufumi Takahashi , Shinji Tsujikawa

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

It was reported that Kerr-Newman black holes can support linear charged scalar fields in their exterior regions. These stationary massive charged scalar fields can form bound states, which are called stationary scalar clouds. In this paper,…

General Relativity and Quantum Cosmology · Physics 2016-10-10 Canisius Bernard

We analyze condensation behaviors of neutral scalar fields outside horizonless reflecting stars in the Einstein-Maxwell-scalar gravity. It was known that minimally coupled neutral scalar fields cannot exist outside horizonless reflecting…

General Relativity and Quantum Cosmology · Physics 2020-03-27 Yan Peng