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In this Letter we investigate uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multi-domain spectral method, which yields highly…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

A solution of Einstein's vacuum field equation is derived that describes a general boosted Kerr black hole relative to a Lorentz frame at future null infinity. The metric contains five independent parameters -- mass $m$, rotation $\omega$,…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Ivano Damião Soares

We obtain remarkably simple integral bounds for axially symmetric linear perturbations for the extreme Kerr black hole in terms of conserved energies. From these estimates we deduce pointwise bounds for the perturbations outside the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Sergio Dain , Ivan Gentile de Austria

We have investigated several properties of rapidly rotating dynamic black holes generated by gravitational collapse of rotating relativistic stars. At present, numerical simulations of the binary black hole merger are able to produce a Kerr…

General Relativity and Quantum Cosmology · Physics 2011-06-23 Motoyuki Saijo

Recently a sequence of inequalities relating the black hole horizon, photon sphere, shadow were proposed for spherically symmetric and static black holes, providing the upper bound for given mass. In this paper, we extend the discussion to…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Xing-Hui Feng , H. Lu

The reduced phase space formalism for quantising black holes has recently been extended to find the area and angular momentum spectra of four dimensional Kerr black holes. We extend this further to rotating black holes in all spacetime…

High Energy Physics - Theory · Physics 2010-11-05 Saurya Das , Himan Mukhopadhyay , P. Ramadevi

We consider charged rotating black holes in 5-dimensional Einstein-Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida , Anna Katinka Petersen

We explain in detail how to calculate the gravitational mass and angular momentum multipoles of the most general non-extremal four-dimensional black hole with four magnetic and four electric charges. We also calculate these multipoles for…

High Energy Physics - Theory · Physics 2021-03-31 Iosif Bena , Daniel R. Mayerson

We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are based on the initial value formulation of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 E. Gourgoulhon , P. Grandclement , S. Bonazzola

Black-hole spacetimes with a "photonsphere", a hypersurface on which massless particles can orbit the black hole on circular null geodesics, are studied. We prove that among all possible trajectories (both geodesic and non-geodesic) which…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Shahar Hod

It is believed that the basic component of the central engine of quasars, micro-quasars, and energetic Gamma Ray Bursts are the rotating or the Kerr Black Holes (BH)[1]. But by using a generic property[2-4] of the metric components of a…

Astrophysics · Physics 2007-05-23 Abhas Mitra

All black holes (BHs) in nature are expected to be described by the Kerr vacuum solution of general relativity (GR). However, the Kerr BH interior contains several problematic features such as a Cauchy horizon, a curvature singularity, and…

General Relativity and Quantum Cosmology · Physics 2024-10-23 Prashant Kocherlakota , Ramesh Narayan

Based on the orbital period of Kerr black holes, Hod proposed a conjecture that a general lower bound on the orbital period may exist. In this work, we examined this bound by exploring the orbital period of Kerr-Newman black holes using…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Yan Peng

We revisit the Kerr black hole as cast in the Boyer-Lindquist, Kerr-Schild and Weyl canonical coordinates, and calculate its total mass/energy and total angular momentum by using linearized gravity along with its background Killing…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Okan Günel , Özgür Sarıoğlu

We propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

Recently, two of us have argued that non-Kerr black holes in gravity theories different from General Relativity may have a topologically non-trivial event horizon. More precisely, the spatial topology of the horizon of non-rotating and…

General Relativity and Quantum Cosmology · Physics 2012-04-16 Cosimo Bambi , Francesco Caravelli , Leonardo Modesto

We construct series of solutions for the Kerr-type rotating black hole with non-trivial matter in flat and (A)dS backgrounds. Symmetry arguments and singularity analysis in the proposed black hole models fix the free parameters of the…

High Energy Physics - Theory · Physics 2024-11-13 A. J. Nurmagambetov

A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

It has been recently demonstrated that the orbital velocity profile around Kerr black holes in the equatorial plane as observed in the locally non-rotating frame exhibits a non-monotonic radial behaviour. We show here that this unexpected…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andreas Mueller , Bernd Aschenbach

Black holes described by the Kerr metric can have a theoretical maximum dimensionless spin parameter of $a_\bullet = 1$, but several effects may limit the maximum spin parameter in astrophysical systems. We perform general relativistic…

High Energy Astrophysical Phenomena · Physics 2026-04-23 Tegan A. Thomas , Angelo Ricarte , Cora Prather , Hyerin Cho
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