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We consider a stationary solution of a charged black hole with scalar hair in AdS$_4$, where the scalar field is coupled to a $U(1)$ Maxwell gauge field. Near the singularity, the spacetime transitions into a more general Kasner geometry.…

High Energy Physics - Theory · Physics 2025-11-03 Hadyan Luthfan Prihadi , Rafi Rizqy Firdaus , Fitria Khairunnisa , Donny Dwiputra , Freddy Permana Zen

We consider particle collisions in the background of a nonextremal black hole. Two particles fall from infinity, particle 1 is fine-tuned (critical), collision occurs in its turning point. The first example is the Reissner-Nordstr\"{o}m…

General Relativity and Quantum Cosmology · Physics 2020-11-11 O. B. Zaslavskii

We show that a charged, massive scalar field in the vicinity of an electrically-charged Ay\'on-Beato-Garc\'ia (ABG) regular black hole has a spectrum of quasibound states that (in a certain parameter regime) grow exponentially with time,…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Sam R. Dolan , Marco A. A. de Paula , Luiz C. S. Leite , Luís C. B. Crispino

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

The Reissner-Nordstrom black hole in four dimensions can be made unstable without violating the dominant energy condition by introducing a real massive scalar with non-renormalizable interactions with the gauge field. New stable black hole…

High Energy Physics - Theory · Physics 2009-11-11 Steven S. Gubser

We consider $n$-dimensional spacetimes which are axisymmetric--but not necessarily stationary (!)--in the sense of having isometry group $U(1)^{n-3}$, and which satisfy the Einstein equations with a non-negative cosmological constant. We…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefan Hollands

The assimilation of a quantum (finite size) particle by a Reissner-Nordstr\"om black hole inevitably involves an increase in the black-hole surface area. It is shown that this increase can be minimized if one considers the capture of the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod

We consider collision of two particles near static electrically charged extremal black holes and elucidate the conditions under which the energy in the centre of mass frame E_{c.m.} grows unbounded. For a single black hole, we generalize…

General Relativity and Quantum Cosmology · Physics 2015-04-10 O. B. Zaslavskii

The most general formulation of Penrose's inequality yields a lower bound for ADM mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in…

General Relativity and Quantum Cosmology · Physics 2013-07-31 Sergio Dain , Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We analyze the periodic motion in the conformal mechanics describing the particles moving near the horizon of extreme Reissner-Nordstr\"om and axion-dilaton (Cl\'ement-Gal'tsov) black holes. For this purpose we extract the (two-dimensional)…

High Energy Physics - Theory · Physics 2012-12-10 Armen Saghatelian

Various generalizations of the scalar, axisymmetric "horizon hair" for extremal black holes have recently appeared in the literature. In this paper, we propose an expression for a non-axisymmetric gravitational "charge" and its potentially…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Som Dev Bishoyi , Subir Sabharwal , Gaurav Khanna

Taking the extremal limit of a non-extremal Reissner-Nordstr\"om black hole (by externally varying the mass or charge), the region between the inner and outer event horizons experiences an interesting fate -- while this region is absent in…

High Energy Physics - Theory · Physics 2009-12-04 Sean M. Carroll , Matthew C. Johnson , Lisa Randall

This is the second in a series of two papers to establish the conjectured mass-angular momentum inequality for multiple black holes, modulo the extreme black hole 'no hair theorem'. More precisely it is shown that either there is a…

Differential Geometry · Mathematics 2025-01-28 Qing Han , Marcus Khuri , Gilbert Weinstein , Jingang Xiong

We study the existence and nature of Aretakis "hair" and its potentially observable imprint at a finite distance from the horizon (Ori-coefficient) in near-extremal black hole backgrounds. Specifically, we consider the time evolution of…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Kevin Gonzalez-Quesada , Subir Sabharwal , Gaurav Khanna

A Reissner-Nordstr\"{o}m black hole (RNBH) enclosed in a cavity is known to be superradiantly unstable to charged scalar perturbations below a critical frequency. Inspired by the emergence of the QCD axion as a prominent dark matter…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Bo-Wen Qin , Yu-Peng Zhang

In this paper, we present a nonlinear numerical investigation on the dynamical scalarization process of a Reissner-Nordstr\"om black hole, incorporating an axionic scalar potential within the framework of the Einstein-Maxwell-dilaton…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Yu-Peng Zhang , Si-Jiang Yang , Shao-Wen Wei , Wen-Di Guo , Yu-Xiao Liu

We investigate timelike geodesics in asymptotically flat regular black holes supported by a phantom scalar field characterized by a scalar charge $A$. This parameter removes the central singularity and continuously deforms the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-04-23 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

The stability of the magnetically charged Reissner-Nordstrom black hole solution is investigated in the context of a theory with massive charged vector mesons. By exploiting the spherical symmetry of the problem, the linear perturbations…

High Energy Physics - Theory · Physics 2010-11-01 S. Alexander Ridgway , Erick J. Weinberg

We conjecture that there exists a relationship between Lyapunov exponents and black hole phase transitions. To support our conjecture, Lyapunov exponents of the motion of particles and ring strings are calculated for…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Xiaobo Guo , Yuhang Lu , Benrong Mu , Peng Wang

In this paper, we fist consider the shadow radius of a quantum corrected black hole proposed recently, and provide a bound on the correction parameter based on the observational data of Sgr A*. Then, the effects of the correction parameter…

General Relativity and Quantum Cosmology · Physics 2025-10-17 Yu-Heng Shu , Jia-Hui Huang