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Massive scalar charges are ubiquitous in extensions to General Relativity and the Standard Model in particle physics. We describe spectral methods which can accurately construct the spacetime of rotating black holes with dimensionless spin…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Adrian Ka-Wai Chung

In this work, we elaborate on the development of a general relativistic formalism that allows one to analytically express the mass and spin parameters of the Kerr black hole in terms of observational data: the total redshift and blueshift…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Pritam Banerjee , Alfredo Herrera-Aguilar , Mehrab Momennia , Ulises Nucamendi

The linear perturbation of a Kerr black hole induced by a rotating massive circular ring is discussed by using the formalism by Teukolsky, Chrzanowski, Cohen and Kegeles. In these formalism, the perturbed Weyl scalars, $\psi_0$ and…

General Relativity and Quantum Cosmology · Physics 2014-12-31 Yasumichi Sano , Hideyuki Tagoshi

In a previous paper, we developed tools for studying the horizon geometry of a Kerr black hole that is tidally distorted by a binary companion using techniques that require large mass ratios but can be applied to any bound orbit and allow…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Stephen O'Sullivan , Scott A. Hughes

Gravitational waveforms and fluxes from extreme mass--ratio inspirals can be computed using time--domain methods with accuracy that is fast approaching that of frequency--domain methods. We study in detail the computational efficiency of…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Jonathan L. Barton , David J. Lazar , Daniel J. Kennefick , Gaurav Khanna , Lior M. Burko

We present the first X-ray reflection model for testing the assumption that the metric of astrophysical black holes is described by the Kerr solution. We employ the formalism of the transfer function proposed by Cunningham. The calculations…

General Relativity and Quantum Cosmology · Physics 2017-06-19 Cosimo Bambi , Alejandro Cardenas-Avendano , Thomas Dauser , Javier A. Garcia , Sourabh Nampalliwar

This paper reviews the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Ramon Lopez-Aleman

We investigate the use of the Gegenbauer procedure for time-domain reconstruction in frequency-domain calculations of the self-force on a particle orbiting a black hole. The conventional technique relies on the so-called method of extended…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Christopher Whittall , Leor Barack , Oliver Long

Recent measurements of gravitational-wave ringdown following the merger of binary black holes raise the prospect of precision black hole spectroscopy in the near future. To perform the most sensitive tests of the nature of black holes using…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Asad Hussain , Aaron Zimmerman

The dynamical parameters conventionally used to specify the orbit of a test particle in Kerr spacetime are the energy $E$, the axial component of the angular momentum, $L_{z}$, and Carter's constant $Q$. These parameters are obtained by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Wolfram Schmidt

We investigate the structure and emission properties of a thin accretion disk around a rotating charged black hole described by an effective higher-curvature-inspired spacetime, constructed as a phenomenological deformation of the Kerr…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Mohammad Hassani , Kourosh Nozari , Sara Saghafi

A special class of orbits known to exist around a Kerr black hole are spherical orbits -- orbits with constant coordinate radii that are not necessarily confined to the equatorial plane. Spherical time-like orbits were first studied by…

General Relativity and Quantum Cosmology · Physics 2021-01-21 Edward Teo

Using a recursive solution of the Einstein equations, we consider the perturbative expansion of the metric corresponding to a Kerr black hole. Because the metric is a function of two parameters, Newton's constant G and the Kerr spin…

High Energy Physics - Theory · Physics 2026-05-20 Poul H. Damgaard , Hojin Lee , Kanghoon Lee , Tabasum Rahnuma

The Kerr spacetime is one of the most widely known solutions to Einstein's vacuum field equations and is commonly used to describe a black hole with mass $m$ and spin $a$. Astrophysical observations in the electromagnetic spectrum as well…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Torben C. Frost

This chapter provides a brief introduction to the Kerr spacetime and rotating black holes, touching on the most common coordinate representations of the spacetime metric and the key features of the geometry -- the presence of horizons and…

General Relativity and Quantum Cosmology · Physics 2008-01-15 Matt Visser

We propose a novel, frequency-domain approach to the analysis of the gravitational-wave ringdown signal of binary black holes and the identification of quasinormal mode frequencies of the remnant. Our approach avoids the issues of spectral…

General Relativity and Quantum Cosmology · Physics 2022-01-11 Eliot Finch , Christopher J. Moore

Astrophysical black hole candidates are thought to be the Kerr black hole predicted by General Relativity. In order to confirm the Kerr-nature of these objects, we need to probe the geometry of the space-time around them and see if the…

General Relativity and Quantum Cosmology · Physics 2012-09-12 Cosimo Bambi

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhen Li

The massless scalar field in the higher-dimensional Kerr black hole (Myers- Perry solution with a single rotation axis) has been investigated. It has been shown that the field equation is separable in arbitrary dimensions. The quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Daisuke Ida , Yuki Uchida , Yoshiyuki Morisawa

Gravitational waves from test masses bound to geodesic orbits of rotating black holes are simulated, using Teukolsky's black hole perturbation formalism, for about ten thousand generic orbital configurations. Each binary radiates power…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Steve Drasco