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The Kerr geometry is believed to represent the exterior spacetime of astrophysical black holes. We here re-analyze the geometry of Kerr-like metrics (Kerr, Kerr-Newman, Kerr-de Sitter, and Kerr-anti de Sitter), paying particular attention…

General Relativity and Quantum Cosmology · Physics 2020-05-29 Piotr T. Chruściel , Maciej Maliborski , Nicolás Yunes

The Kerr-Newman metric describes a very special rotating, charged mass and is the most general of the asymptotically flat stationary 'black hole' solutions to the Einstein-Maxwell equations of general relativity. We review the derivation of…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Tim Adamo , E. T. Newman

The exponential blueshift associated with the event horizon of a black hole makes conformal symmetry play a fundamental role in accounting for its thermal properties. Using a derivation based on two-point functions, we show that the…

High Energy Physics - Theory · Physics 2010-12-03 Ivan Agullo , Jose Navarro-Salas , Gonzalo J. Olmo , Leonard Parker

The interaction of a charged particle with its own field results in the "self-force" on the particle, which includes but is more general than the radiation reaction force. In the vicinity of the particle in curved spacetime, one may follow…

General Relativity and Quantum Cosmology · Physics 2010-01-26 Dong-Hoon Kim

The interaction of a charged particle with its own field results in the "self-force" on the particle, which includes but is more general than the radiation reaction force. In the vicinity of the particle in curved spacetime, one may follow…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Dong-Hoon Kim

The intriguing superradiant amplification phenomenon allows an orbiting scalar field to extract rotational energy from a spinning Kerr black hole. Interestingly, the energy extraction rate can grow exponentially in time if the…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Shahar Hod

Scattering of two Kerr Black Holes emitting gravitational waves can be captured by an effective theory of a massive higher-spin field interacting with the gravitational field. While other compact objects should activate a multitude of…

High Energy Physics - Theory · Physics 2025-08-05 Evgeny Skvortsov , Mirian Tsulaia

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

We report exotic orbital phenomena of spinning test particles orbiting around a Kerr black hole, i.e., some orbits of spinning particles are asymmetrical about the equatorial plane. When a nonspinning test particle orbits around a Kerr…

General Relativity and Quantum Cosmology · Physics 2017-09-07 Wen-Biao Han , Shu-Cheng Yang

The presence of a massive scalar field near a Kerr black hole is known to produce instabilities associated with bound superradiant modes. In this paper we show that for massive fermions, rather than inducing an instability, the bound…

High Energy Physics - Theory · Physics 2010-02-12 Thomas Hartman , Wei Song , Andrew Strominger

In 4D general relativity, the angular momentum of a black hole is limited by the Kerr bound. We suggest that in string theory, this bound can be breached and compact black-hole-like objects can spin faster. Near such "superspinars," the…

High Energy Physics - Theory · Physics 2014-11-18 Eric G. Gimon , Petr Horava

We derive closed formulas for the mass and spin parameters of a Kerr black hole in terms of a minimal quantity of observational data: the red-/blue-shifts of photons emitted by massive particles (stars) moving on geodesics around the black…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Alfredo Herrera-Aguilar , Raúl Lizardo-Castro , Ulises Nucamendi

A co-rotating bosonic field interacting with a spinning Kerr black hole can extract rotational energy and angular momentum from the hole. This intriguing phenomenon is known as superradiant scattering. As pointed out by Press and Teukolsky,…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Shahar Hod

We exhibit the first analogue model of a rotating black hole constructed in the framework of nonlinear electrodynamics. The background electromagnetic field is assumed to be algebraically special and adapted to a geodesic shear-free…

General Relativity and Quantum Cosmology · Physics 2025-07-14 Érico Goulart , Eduardo Bittencourt

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

General relativity makes clear predictions about the spacetime geometry around black holes. In the near future, new facilities will have the capability to explore the metric around SgrA$^*$, the supermassive black hole candidate at the…

General Relativity and Quantum Cosmology · Physics 2014-05-16 Zilong Li , Lingyao Kong , Cosimo Bambi

A (charged) rotating black hole may be unstable against a (charged) massive scalar field perturbation due to the existence of superradiance modes. The stability property depends on the parameters of the system. In this paper, the…

General Relativity and Quantum Cosmology · Physics 2021-06-02 Jia-Mao Lin , Ming-Jian Luo , Zi-Han Zheng , Lei Yin , Jia-Hui Huang

On the lines of the 4-dimensional Kerr black hole we consider the particle acceleration near a 5-dimensional Kerr black hole which has the two rotation parameters. It turns out that the center of mass energy of the two equal mass colliding…

General Relativity and Quantum Cosmology · Physics 2013-12-12 Ahmadjon Abdujabbarov , Naresh Dadhich , Bobomurat Ahmedov , Husan Eshkuvatov

The saturation mechanism for the fastest-growing instability of massive scalar field in Kerr metric is identified, assuming saturation by cubic or quartic nonlinearities of the field potential. The resulting spindown rate of the black hole…

High Energy Astrophysical Phenomena · Physics 2016-04-22 Andrei Gruzinov

The extreme Kerr throat solution is believed to be non-supersymmetric. However, its isometry group SO(2,1) x U(1) matches precisely the bosonic subgroup of N=2 superconformal group in one dimension. In this paper we construct N=2…

High Energy Physics - Theory · Physics 2010-11-30 Anton Galajinsky