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We calculate analytically the asymptotic form of quasi-normal modes of perturbations of arbitrary spin of a Schwarzschild black hole including first-order corrections. We use the Teukolsky equation which applies to both bosonic and…

High Energy Physics - Theory · Physics 2009-11-11 Suphot Musiri , George Siopsis

Using a yukawa type of metric we derive the kretschmann scalar for a general static black hole of a certain mass. The scalar gives the curvature of the space time as a function of the radial distance in the vicinity as well as inside of the…

General Relativity and Quantum Cosmology · Physics 2014-06-10 Ioannis Gkigkitzis , Ioannis Haranas , Omiros Ragos

We discuss various properties of rotating Killing horizons in generic $F(R)$ theories of gravity in dimension four for spacetimes endowed with two commuting Killing vector fields. Assuming there is no curvature singularity anywhere on or…

General Relativity and Quantum Cosmology · Physics 2016-09-06 Sourav Bhattacharya

We use Support Vector Machines (SVMs) to classify the spin of a black hole. The SVMs are trained and tested with a catalog of numerically generated images of black holes, assuming disk and spherical matter models with monochromatic emission…

General Relativity and Quantum Cosmology · Physics 2019-05-22 J. A. Gonzalez , F. S. Guzman

We generalize our previous work on gravitational lensing by a Kerr black hole in the strong deflection limit, removing the restriction to observers on the equatorial plane. Starting from the Schwarzschild solution and adding corrections up…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Bozza , F. De Luca , G. Scarpetta

The inclusion of spin effects in the binary dynamics for black hole and neutron stars is crucial for the computation of gravitational wave observables. Worldline supersymmetric models have shown to be particularly efficient at this task up…

High Energy Physics - Theory · Physics 2025-05-19 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

Knowledge of the spin of the black hole resulting from the merger of a generic black-hole binary is of great importance for studying the cosmological evolution of supermassive black holes. Several attempts have been made to model the spin…

General Relativity and Quantum Cosmology · Physics 2011-05-24 Enrico Barausse , Luciano Rezzolla

One of the primary aims of upcoming space-borne gravitational wave detectors is to measure radiation in the mHz range from extreme-mass-ratio inspirals. Such a detection would place strong constraints on hypothetical departures from a Kerr…

General Relativity and Quantum Cosmology · Physics 2020-09-17 Kyriakos Destounis , Arthur G. Suvorov , Kostas D. Kokkotas

We investigate the scattering of a spinning test particle by a Kerr black hole within the Mathisson-Papapetrou-Dixon model to linear order in spin. The particle's spin and orbital angular momentum are taken to be aligned with the black…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Donato Bini , Andrea Geralico , Justin Vines

We consider the autoparallel motion of test bodies in static, spherically symmetric spacetimes with torsion. We prove complete integrability of such motion for a wide range of off-shell geometries via four commuting autoparallel Killing…

General Relativity and Quantum Cosmology · Physics 2025-06-04 Jens Boos

We established the equivalence between the local Hawking temperature measured by the time-like Killing observer located at some positions $r$ with finite distances from the outer horizon $r_+$ in the 5-dimensional spinning black hole space…

High Energy Physics - Theory · Physics 2012-01-11 Huai-Fan Li , Bin Hu

The Gibbons-Werner method for calculating deflection angles using the Gauss-Bonnet theorem and optical/Jacobi metric has become widely popular in recent years. Werner extended this method to stationary spacetimes, where the optical/Jacobi…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Zonghai Li

In previous work, we developed tools for quantifying the tidal distortion of a black hole's event horizon due to an orbiting companion. These tools use techniques which require large mass ratios (companion mass $\mu$ much smaller than black…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Robert F. Penna , Scott A. Hughes , Stephen O'Sullivan

The definition of well-behaved coordinate charts for black hole spacetimes can be tricky, as they can lead for example to either unphysical coordinate singularities in the metric (e.g. $r=2M$ in the Schwarzschild black hole) or to an…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Emanuel Gallo , Carlos Kozameh , Thomas Mädler , Osvaldo M. Moreschi , Alejandro Pérez

Recently a short scale modified black hole metric, known as holographic metric, has been proposed in order to capture the self-complete character of gravity. In this paper we show that such a metric can reproduce some geometric features…

General Relativity and Quantum Cosmology · Physics 2016-05-23 Antonia M. Frassino , Sven Köppel , Piero Nicolini

The spins of ten stellar black holes have been measured using the continuum-fitting method. These black holes are located in two distinct classes of X-ray binary systems, one that is persistently X-ray bright and another that is transient.…

High Energy Astrophysical Phenomena · Physics 2015-06-15 Jeffrey E. McClintock , Ramesh Narayan , James F. Steiner

The purpose of this paper is to enhance the conventional Komar integral to asymptotically anti-de Sitter (AdS) black holes. In order to do so, we first obtain a potential that is the linear combination of the usual Komar potential with two…

General Relativity and Quantum Cosmology · Physics 2023-05-24 Jun-Jin Peng , Chang-Li Zou , Hui-Fa Liu

A non-diagonal vielbein ansatz is applied to the $N$-dimension field equations of $f(T)$ gravity. An analytical vacuum solution is derived for the quadratic polynomial $f(T)=T+\epsilon T^2$ in the presence of a cosmological constant…

General Relativity and Quantum Cosmology · Physics 2017-04-21 G. G. L. Nashed , W. El Hanafy

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

Accurately inferring black hole spin is crucial for understanding black hole dynamics and their astrophysical environments. In this work, we outline a geometric method for spin estimation by using the interferometric shape of the first…

High Energy Astrophysical Phenomena · Physics 2025-10-22 Lennox S. Keeble , Alejandro Cárdenas-Avendaño , Daniel C. M. Palumbo