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The study of the interior of hairy black holes has received significant attention recently. This paper builds upon our recent analytical approach to investigate the internal dynamics of charged black holes with scalar hair in general…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Rong-Gen Cai , Mei-Ning Duan , Li Li , Fu-Guo Yang

We construct a new one-parameter family indexed by $\epsilon$ of two-ended, spatially-homogeneous black hole interiors solving the Einstein-Maxwell-Klein-Gordon equations with a (possibly zero) cosmological constant $\Lambda$ and…

General Relativity and Quantum Cosmology · Physics 2024-08-27 Maxime Van de Moortel

We study the interior dynamics of spontaneously scalarized black holes in Einstein-Maxwell-Scalar theory with zero cosmological constant, revealing novel critical phenomena. We demonstrate that, for a wide range of scalar-electromagnetic…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Li Li , Ze Sun , Fu-Guo Yang

We study the internal structure of anisotropic black holes with charged vector hairs. Taking advantage of the scaling symmetries of the system, some radially conserved charges are found via the extension of the Noether theorem. Then, a…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Rong-Gen Cai , Chenghu Ge , Li Li , Run-Qiu Yang

We study the interior of a recently constructed family of asymptotically flat, charged black holes that develop (charged) scalar hair as one increases their charge at fixed mass. Inside the horizon, these black holes resemble the interior…

High Energy Physics - Theory · Physics 2022-01-05 Oscar J. C. Dias , Gary T. Horowitz , Jorge E. Santos

We present an analytical study of the interior structure of hairy rotating black holes in three-dimensional Einstein gravity, minimally coupled to a complex scalar field with a super-exponential potential. The interior dynamics of these…

High Energy Physics - Theory · Physics 2026-04-16 Ling-Long Gao , Yan Liu , Rui-Long Zhao

The final (close to the singularity) dynamical behavior of the metric inside black holes with massive charged scalar or vector hair is analyzed for general anisotropic and inhomogeneous initial conditions. These solutions are relevant to a…

High Energy Physics - Theory · Physics 2022-03-30 Marc Henneaux

We investigate the internal dynamics of hairy black holes in the Einstein-Maxwell-vector theory. The development of the charged vector hair necessarily removes the inner Cauchy horizon and results in an anisotropic black hole ending at a…

General Relativity and Quantum Cosmology · Physics 2025-01-14 Rong-Gen Cai , Mei-Ning Duan , Li Li , Fu-Guo Yang

In this paper, we investigate the internal structure of a charged hairy black hole solution in the non-linear massive gravity. We first consider the impact of various configurations of massive gravity on the condensate operator and then…

High Energy Physics - Theory · Physics 2022-09-30 Mirmani Mirjalali , Seyed Ali Hosseini Mansoori , Leila Shahkarami , Morteza Rafiee

We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-04-06 Rong-Gen Cai , Li Li , Run-Qiu Yang

We construct hairy rotating black hole solutions in three dimensional Einstein gravity coupled to a complex scalar field. When we turn on a real and uniform source on the dual CFT, the black hole is stationary with two Killing vectors and…

High Energy Physics - Theory · Physics 2024-01-17 Ling-Long Gao , Yan Liu , Hong-Da Lyu

Charged black holes in anti-de Sitter space become unstable to forming charged scalar hair at low temperatures $T < T_\text{c}$. This phenomenon is a holographic realization of superconductivity. We look inside the horizon of these…

High Energy Physics - Theory · Physics 2021-01-20 Sean A. Hartnoll , Gary T. Horowitz , Jorrit Kruthoff , Jorge E. Santos

We explore charged black hole solutions in Einstein-Gauss-Bonnet gravity in five dimensions, with a charged scalar hair. We interpret such hairy black holes as the final state of the superradiant instability previously reported for this…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Nicolas Grandi , Ignacio Salazar Landea

A linear coupling between a scalar field and the Gauss-Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Robert Benkel , Thomas P. Sotiriou , Helvi Witek

We consider charged black holes with scalar hair obtained in a class of Einstein-Maxwell-scalar models, where the scalar field is coupled to the Maxwell invariant with a quartic coupling function. Besides the Reissner-Nordstr\"om black…

General Relativity and Quantum Cosmology · Physics 2020-11-04 Jose Luis Blázquez-Salcedo , Sarah Kahlen , Jutta Kunz

We investigate the oscillation of the Kasner exponent $p_t$ near critical point of the hairy black holes dual to holographic superfluid and reveal a clear inverse periodicity $f(T_c/(T_c-T))$ in a large region below the critical…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Zi-Qiang Zhao , Zhang-Yu Nie , Xing-Kun Zhang , Yu-Sen An , Jing-Fei Zhang , Xin Zhang

We conduct an exhaustive study of the interior geometry of a family of asymptotically AdS$_{d+1}$ hairy black holes in an analytically controllable setup. The black holes are exact solutions to an Einstein-Maxwell-Dilaton theory and include…

High Energy Physics - Theory · Physics 2024-12-02 Daniel Areán , Hyun-Sik Jeong , Juan F. Pedraza , Le-Chen Qu

We study analytically the initial value problem for a charged massless scalar-field on a Reissner-Nordstr\"om spacetime. Using the technique of spectral decomposition we extend recent results on this problem. Following the no-hair theorem…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod , Tsvi Piran

It has been shown recently that extreme Reissner-Nordstr\"{o}m black holes perturbed by a minimally coupled, free, massless scalar field have permanent scalar hair. The hair - a conserved charge calculated at the black hole's event horizon…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Lior M. Burko , Gaurav Khanna , Subir Sabharwal

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
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