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Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

There exists in literature an increasing interest in the study of mass distributions surrounding black holes as describing dark matter halo in spiral galaxies. Motivated by this interest, we study a very recent new class of rotating…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Stefano Viaggiu

A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a…

High Energy Physics - Theory · Physics 2018-01-31 Cristián Erices , Cristian Martinez

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

We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Pedro G. S. Fernandes

General Relativity provides us with some solutions for rotating black holes. However, there are some problems associated with them: the appearance of singularities, the possibility of violations of the cosmic censorship conjecture, the…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Ramon Torres

Since the development of Relativity theory, a variety of solutions have been found around Einstein field equations, depending on the time-space. For instance, we can find the axially symmetric space which describes a rotanting black hole.…

General Relativity and Quantum Cosmology · Physics 2014-09-08 Jonathan Pineda , Leonardo Castañeda , Juan Manuel Tejeiro

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 obtain a new class of stationary axisymmetric spacetimes by using the G\"urses-G\"ursey metric with an appropriate mass function in order to generate a rotating core of matter that may be smoothly matched to the exterior Kerr metric. The…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Angel D. Masa , Vilson T. Zanchin

We analyze the stationary, uncharged, rotating, vacuum solution to Weyl conformal gravity. We elucidate the causal and ergoregion structure of the spacetimes found in the parameter space of the metric for positive mass. These are then…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Miguel Yulo Asuncion , Keith Horne , Reinosuke Kusano , Martin Dominik

In this paper, we study the geodesic motion in the spacetime of a SU(2)-colored (A)dS black hole in conformal gravity, and also we investigate spacetime features, such as light spheres and horizons. Moreover, we derive the analytical…

General Relativity and Quantum Cosmology · Physics 2021-05-10 Bahareh Hoseini , Reza Saffari , Saheb Soroushfar

The study of Kerr geodesics has a long history, particularly for those occurring within the equatorial plane, which is generally well-understood. However, upon comparison with the classification introduced by one of us…

General Relativity and Quantum Cosmology · Physics 2024-02-06 Yan Liu , Bing Sun

Most extreme-mass-ratio-inspirals of small compact objects into supermassive black holes end with a fast plunge from an eccentric last stable orbit. For rapidly rotating black holes such fast plunges may be studied in the context of the…

High Energy Physics - Theory · Physics 2016-09-27 Shahar Hadar , Achilleas P. Porfyriadis , Andrew Strominger

It has been conjectured that a near-extreme Kerr black hole is described by a 2d CFT. Previous work has shown that CFT operators dual to axisymmetric gravitational perturbations have integer conformal weights. In this paper, we study the…

High Energy Physics - Theory · Physics 2015-05-27 Keiju Murata

We present a practical method for calculating the gravitational self-force, as well as the electromagnetic and scalar self forces, for a particle in a generic orbit around a Kerr black hole. In particular, we provide the values of all the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack , Amos Ori

In this study, we investigate rotating black hole solutions within a scalar Gauss-Bonnet gravity framework that incorporates a squared Gauss-Bonnet term. By employing a quadratic exponential coupling function between the scalar field and…

General Relativity and Quantum Cosmology · Physics 2025-08-14 Shoupan Liu , Yunqi Liu , Yan Peng , Cheng-Yong Zhang

We propose a new parametric framework to describe in generic metric theories of gravity the spacetime of spherically symmetric and slowly rotating black holes. In contrast to similar approaches proposed so far, we do not use a Taylor…

General Relativity and Quantum Cosmology · Physics 2014-10-09 Luciano Rezzolla , Alexander Zhidenko

The knowledge of the properties of the different exact solutions modeling binary systems, is a necessary step towards the classification of physically suitable solutions and its corresponding limits of applicability. In the present paper,…

General Relativity and Quantum Cosmology · Physics 2016-09-07 F. L. Dubeibe , José D. Sanabria-Gómez

We consider the motion of test particles in the spacetime of a black hole in f(R) gravity. The complete set of analytic solutions of the geodesic equation in the spacetime of this black hole are presented. The geodesic equations are solved…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Saheb Soroushfar , Reza Saffari , Jutta Kunz , Claus Lämmerzahl