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An electrically charged black hole solution with scalar hair in four dimensions is presented. The self-interacting scalar field is real and it is minimally coupled to gravity and electromagnetism. The event horizon is a surface of negative…

High Energy Physics - Theory · Physics 2008-11-26 Cristian Martinez , Ricardo Troncoso

We construct static, spherically symmetric black hole solutions in scalar extended ghost-free massive gravity and show the existence of hairy black holes in this class of extension. While the existence seems to be a generic feature, we…

High Energy Physics - Theory · Physics 2016-01-08 Andrew J. Tolley , De-Jun Wu , Shuang-Yong Zhou

Soft hairs of black holes are the Noether charges associated with the generalized Bondi-Metzner-Sachs symmetries. In this work, the images of soft-haired Kerr black holes are studied. For an eternal black hole, the image is rotated,…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Shaoqi Hou , Zong-Hong Zhu

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

We construct and classify asymptotically flat, static, spherically symmetric hairy black hole solutions in $U(1)$ gauge-invariant scalar-vector-tensor (SVT) theories carrying both electric and magnetic charges. Extending previous studies…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Masaki Kitagawa , Naoki Tsukamoto , Ryotaro Kase

This is a brief summary of the most important hairy black hole solutions in 3+1 spacetime dimensions discovered over the last 25 years. These were first of all the Einstein-Yang-Mills black holes and their various generalizations including…

General Relativity and Quantum Cosmology · Physics 2016-02-01 Mikhail S. Volkov

We present a family of solutions of Einstein's gravity minimally coupled to a complex, massive scalar field, describing asymptotically flat, spinning black holes with scalar hair and a regular horizon. These hairy black holes (HBHs) are…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Carlos A. R. Herdeiro , Eugen Radu

The no-hair theorem of general relativity states that isolated black holes are characterized by three parameters: mass, spin, and charge. In this Letter we consider Kerr black holes endowed with highly magnetized plasma-filled…

High Energy Astrophysical Phenomena · Physics 2021-10-04 Ashley Bransgrove , Bart Ripperda , Alexander Philippov

We have derived the criteria for thermal stability of charged rotating black holes, for horizon areas that are large relative to the Planck area (in these dimensions). In this paper, we generalized it for black holes with arbitrary hairs.…

General Relativity and Quantum Cosmology · Physics 2018-07-31 Aloke Kumar Sinha

It is known that, for shift-symmetric scalars, only a linear coupling with the Gauss-Bonnet invariant can introduce black hole hair. Such hairy black holes have a minimum mass, determined by the coupling of this interaction, and a scalar…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Farid Thaalba , Georgios Antoniou , Thomas P. Sotiriou

We revisit the physical effects of discrete $\mathbb{Z}_p$ gauge charge on black hole thermodynamics, building on the seminal work of Coleman, Preskill, and Wilczek. Realising the discrete theory from the spontaneous breaking of an Abelian…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Isabel Garcia Garcia

We uncover the physical nature of the electric and magnetic monopoles discovered by McGuire and Ruffini on Misner strings accompanying charged nutty black holes, showing that these strings carry singular, nonuniform flows of electric and…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Dmitri Gal'tsov , Rostom Karsanov

No-hair theorems exclude the existence of nontrivial scalar and massive vector hair outside four-dimensional, static, asymptotically flat black-hole spacetimes. We show, by explicitly building nonlinear solutions, that black holes can…

General Relativity and Quantum Cosmology · Physics 2013-09-09 Richard Brito , Vitor Cardoso , Paolo Pani

The present thesis attempts to study the effect of scalar fields on Hawking radiation and quasinormal modes of black holes. We selected a static, spherically symmetric electrically charged black hole with an additional scalar 'hair' for our…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Avijit Chowdhury

Previous studies showed that, in the presence of a simple and well-motivated self-interaction scalar potential, asymptotically flat and spherical black holes can carry minimally coupled and charged scalar cloud/hair in Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-09 Shao-Jun Zhang

Alternative theories of gravity may be put to the test by making use of gravitational wave observations. Scalar-tensor theories provide a relatively simple framework that allows for compact object solutions with characteristics different…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Georgios Antoniou

The strong gravitational lensing for charged black holes with scalar hair in Einstein-Maxwell-Dilaton theory are studied. We find, with the increase of scalar hair, that the radius of the photon sphere, minimum impact parameter, angular…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Ruanjing Zhang , Jiliang Jing

In Einstein-Maxwell theory black holes are uniquely determined by their mass, their charge and their angular momentum. This is no longer true in Einstein-Yang-Mills theory. We discuss sequences of neutral and charged SU(N)…

General Relativity and Quantum Cosmology · Physics 2009-10-31 B. Kleihaus , J. Kunz , A. Sood , M. Wirschins

We study linear perturbations on top of the static and spherically symmetric background of dyonic black hole solutions endowed with electric and magnetic charges, as well as a scalar hair, in the lowest-order $U(1)$ gauge-invariant…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Kitaro Taniguchi , Shunta Nishimura , Naoki Tsukamoto , Ryotaro Kase

The recently proved `no short hair' theorem asserts that, if a spherically-symmetric static black hole has hair, then this hair (the external fields) must extend beyond the null circular geodesic (the "photonsphere") of the corresponding…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Shahar Hod