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We derive expressions for the general five-dimensional metric for Kerr-(A)dS black holes. The Klein-Gordon equation is explicitly separated and we show that the angular part of the wave equation leads to just one spheroidal wave equation,…

General Relativity and Quantum Cosmology · Physics 2012-09-03 H. T. Cho , A. S. Cornell , Jason Doukas , Wade Naylor

Kerr black holes with scalar hair are solutions of the Einstein-Klein-Gordon field equations describing regular (on and outside an event horizon), asymptotically flat black holes with scalar hair (arXiv:1403.2757). These black holes…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Carlos Herdeiro , Eugen Radu

We extend the treatment of the problem of the gravitational waves produced by a particle of negligible mass orbiting a Kerr black hole using black hole perturbation theory in the time domain, to elliptic and inclined orbits. We model the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gaurav Khanna

In order to understand the physical effect of the brick wall boundary condition, we compute the distribution of the zero-point energy of the massless scalar fields minimally coupled to the Schwarzschild and Reissner-Nordstr\"{o}m black hole…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sang Pyo Kim , Sung Ku Kim , Kwang-Sup Soh , Jae Hyung Yee

In this paper the averaged weak (AWEC) and averaged null (ANEC) energy conditions, together with uncertainty principle-type restrictions on negative energy (``quantum inequalities''), are examined in the context of evaporating black hole…

General Relativity and Quantum Cosmology · Physics 2009-10-28 L. H. Ford , Thomas A. Roman

We consider thin accretion disks in the field of a class of rotating regular black holes. For this purpose, we obtain the radius of the innermost stable circular orbit, $r_{ISCO}$ and efficiency of accretion disk in converting matter into…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Kuantay Boshkayev , Talgar Konysbayev , Yergali Kurmanov , Orlando Luongo , Marco Muccino , Aliya Taukenova , Ainur Urazalina

We investigate the local energy decay of solutions of the Dirac equation in the non-extreme Kerr-Newman metric. First, we write the Dirac equation as a Cauchy problem and define the Dirac operator. It is shown that the Dirac operator is…

Mathematical Physics · Physics 2009-07-20 Monika Winklmeier , Osanobu Yamada

We study electromagnetic radiation reaction on a charged particle around a weakly magnetized Kerr black hole. We solve numerically the Teukolsky equation to find energy fluxes in electromagnetic radiation at the horizon and at spatial…

General Relativity and Quantum Cosmology · Physics 2024-12-18 João S. Santos , Vítor Cardoso , José Natário

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

We set to weigh the black holes at their event horizons in various spacetimes and obtain masses which are substantially higher than their asymptotic values. In each case, the horizon mass of a Schwarzschild, Reissner-Nordstr{\"o}m, or Kerr…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Yuan K. Ha

We consider local energy decay estimates for solutions to scalar wave equations on nontrapping asymptotically flat space-times. Our goals are two-fold. First we consider the stationary case, where we can provide a full spectral…

Analysis of PDEs · Mathematics 2017-03-24 Jason Metcalfe , Jacob Sterbenz , Daniel Tataru

Analyzing test particles falling into a Kerr black hole, we study gravitational waves in Brans-Dicke theory of gravity. First we consider a test particle plunging with a constant azimuthal angle into a rotating black hole and calculate the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Motoyuki Saijo , Hisa-aki Shinkai , Kei-ichi Maeda

Freely falling point particles in the vicinity of Kerr black holes are subject to a conservation law, that of their Carter constant. We consider the conjecture that this conservation law is a special case of a more general conservation law,…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Alexander Grant , Eanna E. Flanagan

Specialising to the case of Kerr-Schild spacetimes, which include the Kerr black hole and gravitational wave solutions, we propose a modification of the Penrose quasi-local energy. The modification relies on the existence of a natural…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Mahdi Godazgar , Andre Kaderli

We calculate the self-force acting on a charged particle on a circular geodesic orbit in the equatorial plane of a rotating black hole. We show by direct calculation that the dissipative self-force balances with the sum of the flux radiated…

General Relativity and Quantum Cosmology · Physics 2022-07-19 T. Torres , S. R. Dolan

This paper investigates the repetitive Penrose process in accelerating Kerr black holes and explores the influence of the acceleration factor on the repetitive Penrose process. After a brief review of accelerating Kerr black holes, we study…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Xiao-Xiong Zeng , Ke Wang

We explore the (non)-universality of Martinez's conjecture, originally proposed for Kerr black holes, within and beyond general relativity. The conjecture states that the Brown-York quasilocal energy at the outer horizon of such a black…

High Energy Physics - Theory · Physics 2010-11-19 Sukanta Bose , Thant Zin Naing

In the paper we discuss propagation of light around Kerr black hole surrounded by non-magnetized cold plasma with infinite conductivity. For that purpose, we use equations for propagation of light rays obtained within Synge's approach in…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Matej Sárený , Vladimír Balek

In this paper we calculate the center-of-mass energy of two colliding test particles near the rotating and non-rotating Horava-Lifshitz black hole. For the case of slowly rotating KS solution of Horava-Lifshitz black hole we compare our…

High Energy Physics - Theory · Physics 2012-05-22 J. Sadeghi , B. Pourhassan

We show that the pseudotensors of Einstein, Tolman, Landau and Lifshitz, Papapetrou, and Weinberg (ETLLPW) give the same distributions of energy, linear momentum and angular momentum, for any Kerr-Schild metric. This result generalizes a…

General Relativity and Quantum Cosmology · Physics 2010-03-03 J M Aguirregabiria , A Chamorro , K S Virbhadra