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We solve the problem of expressing the Weyl scalars $\psi $ that describe gravitational perturbations of a Kerr black hole in terms of Cauchy data. To do so we use geometrical identities (like the Gauss-Codazzi relations) as well as…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Manuela Campanelli , Carlos O. Lousto , John Baker , Gaurav Khanna , Jorge Pullin

In this paper, we continue our study of the motion of spinning test bodies orbiting Kerr black holes. Non-spinning test bodies follow geodesics of the spacetime in which they move. A test body's spin couples to the curvature of that…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

We develop a simple physical model to describe the most common type of low-frequency quasi-periodic oscillations (QPOs) seen in a number of accreting black hole systems, as well as the shape of the relativistically broadened iron emission…

Astrophysics · Physics 2009-11-13 Jeremy D. Schnittman , Jeroen Homan , Jon M. Miller

Recently, a quantum mechanical theory of quantum spaces described by a large $N$ non-commutative coordinates is proposed as a model for quantum gravity [1]. In this paper, we construct Kerr black hole as a rotating noncommutative geometry…

High Energy Physics - Theory · Physics 2025-08-13 Chong-Sun Chu

Following Bekenstein's suggestion that the horizon area of a black hole should be quantized, the discrete spectrum of the horizon area has been investigated in various ways. By considering the quasinormal mode of a black hole, we obtain the…

High Energy Physics - Theory · Physics 2015-05-18 Yongjoon Kwon , Soonkeon Nam

State-of-the-art computations of the gravitational self-force (GSF) on massive particles in black hole spacetimes involve numerical evolution of the metric perturbation equations in the time-domain, which is computationally very costly. We…

General Relativity and Quantum Cosmology · Physics 2013-11-27 Sarp Akcay , Niels Warburton , Leor Barack

We compute the length and timescales associated with resonant orbits in the Kerr Metric for all orbital and spin parameters. Resonance induced effects are potentially observable when the Event Horizon telescope resolves the inner structure…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Jeandrew Brink , Marisa Geyer , Tanja Hinderer

It is now widely accepted that the universe as we understand it is accelerating in expansion and fits the de Sitter model rather well. As such, a realistic assumption of black holes must place them on a de Sitter background and not…

General Relativity and Quantum Cosmology · Physics 2011-04-04 Sarp Akcay , Richard Matzner

It is known that the radial equation of the massless fields with spin around Kerr black holes cannot be solved by special functions. Recently, the analytic solution was obtained by use of the expansion in terms of the special functions and…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Takahiro Masuda , Hisao Suzuki

We numerically solve the Teukolsky equation in the time domain to obtain the gravitational-wave emission of a small mass inspiraling and plunging into the equatorial plane of a Kerr black hole. We account for the dissipation of orbital…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Andrea Taracchini , Alessandra Buonanno , Gaurav Khanna , Scott A. Hughes

We calculate analytically asymptotic values of quasi-normal frequencies of four-dimensional Kerr black holes by solving the Teukolsky wave equation. We obtain an expression for arbitrary spin of the wave in agreement with Hod's proposal…

High Energy Physics - Theory · Physics 2015-06-26 Suphot Musiri , George Siopsis

We apply the global mode analysis, which has been recently developed for the modeling of kHz quasi-periodic oscillations (QPOs) from neutron stars, to the inner region of an accretion disk around a rotating black hole. Within a…

High Energy Astrophysical Phenomena · Physics 2012-02-07 M. H. Erkut

Black-hole spectroscopy, that is, measuring the characteristic frequencies and damping times of different modes in a black-hole ringdown, is a powerful probe for testing deviations from the general theory of relativity (GR). In this work,…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Costantino Pacilio , Swetha Bhagwat

A brief introduction is given to rotating black holes in more than four spacetime dimensions.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Gary T. Horowitz

We investigate the area spectrum for rotating black holes which are Kerr and BTZ black holes. For slowly rotating black holes, we use the Maggiore's idea combined with Kunstatter's method to derive their area spectra, which are equally…

High Energy Physics - Theory · Physics 2014-11-20 Yun Soo Myung

We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first…

High Energy Physics - Theory · Physics 2026-03-05 N. Emil J. Bjerrum-Bohr , Gang Chen , Konstantinos Papadimos , Yuexiang Zhang

The Kerr spacetime is symmetric with respect to a well-defined equatorial plane. When testing the equatorial reflection symmetry of an isolated black hole, one is at the same time testing the Kerr hypothesis in General Relativity. In this…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Che-Yu Chen , Hung-Yi Pu

A rotating black hole causes the spin-axis of a nearby pulsar to precess due to geodetic and gravitomagnetic frame-dragging effects. The aim of our theoretical work here is to explore how this spin-precession can modify the rate at which…

High Energy Astrophysical Phenomena · Physics 2019-09-27 Prashant Kocherlakota , Pankaj S. Joshi , Sudip Bhattacharyya , Chandrachur Chakraborty , Alak Ray , Sounak Biswas

Here we are interested to study the spin-1 particle i.e., electro-magnetic wave in curved space-time, say around black hole. After separating the equations into radial and angular parts, writing them according to the black hole geometry,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Banibrata Mukhopadhyay