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We present results from a new code for computing gravitational perturbations of the Kerr geometry. This new code carefully maintains high precision to allow us to obtain high-accuracy solutions for the gravitational quasinormal modes of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Gregory B. Cook , Maxim Zalutskiy

We compare and contrast the emission of gravitational waves and waveforms for the recently established "helicoidal-drifting-sequence" of a test particle around a Kerr black hole with the publicly available waveform templates of…

High Energy Astrophysical Phenomena · Physics 2018-02-28 J. F. Rodriguez , J. A. Rueda , R. Ruffini

We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by the gravitational self-force. Our model is based on an action angle formulation of the method of osculating geodesics for…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Philip Lynch , Maarten van de Meent , Niels Warburton

This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Leor Barack

Extreme-mass-ratio inspirals, in which a stellar-mass object orbits a supermassive black hole, are prime sources of millihertz gravitational waves for upcoming space-based detectors. While most studies assume idealized vacuum backgrounds,…

General Relativity and Quantum Cosmology · Physics 2026-02-18 Kyriakos Destounis , Pedro G. S. Fernandes

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

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

General Relativity and Quantum Cosmology · Physics 2020-06-24 Geoffrey Compère , Adrien Druart

Various generalizations of the scalar, axisymmetric "horizon hair" for extremal black holes have recently appeared in the literature. In this paper, we propose an expression for a non-axisymmetric gravitational "charge" and its potentially…

General Relativity and Quantum Cosmology · Physics 2025-03-04 Som Dev Bishoyi , Subir Sabharwal , Gaurav Khanna

We initiate a comprehensive study of a set of solutions of topologically massive gravity known as null warped anti-de Sitter spacetimes. These are pp-wave extensions of three-dimensional anti-de Sitter space. We first perform a careful…

High Energy Physics - Theory · Physics 2010-11-30 Dionysios Anninos , Geoffrey Compère , Sophie de Buyl , Stéphane Detournay , Monica Guica

In this work we find analytical solutions to the null geodesics in the hyperbolic topological black hole spacetime of conformal Weyl gravity in an invariant $2$-plane given by the orbits of an azimuthal Killing vector. Exact expressions for…

General Relativity and Quantum Cosmology · Physics 2018-08-24 Graeme Candlish , Marco Olivares , Constanza Osses , J. R. Villanueva

We extend the gravitational self-force approach to encompass `self-interaction' tidal effects for a compact body of mass $\mu$ on a quasi-circular orbit around a black hole of mass $M \gg \mu$. Specifically, we define and calculate at…

General Relativity and Quantum Cosmology · Physics 2015-01-27 Sam R. Dolan , Patrick Nolan , Adrian C. Ottewill , Niels Warburton , Barry Wardell

The Newman-Penrose formalism may be used in numerical relativity to extract coordinate-invariant information about gravitational radiation emitted in strong-field dynamical scenarios. The main challenge in doing so is to identify a null…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Andrea Nerozzi , Christopher Beetle , Marco Bruni , Lior M. Burko , Denis Pollney

The fact that one must evaluate the near-extremal and near-horizon limits of Kerr space-time in a specific order, is shown to a lead to discontinuity in the extremal limit, such that this limiting space-time differs nontrivially from the…

General Relativity and Quantum Cosmology · Physics 2015-08-21 Parthapratim Pradhan , Parthasarathi Majumdar

We analytically compute time domain gravitational waveforms produced in the final stages of extreme mass ratio inspirals of non-spinning compact objects into supermassive nearly extremal Kerr black holes. Conformal symmetry relates all…

General Relativity and Quantum Cosmology · Physics 2019-10-17 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Jiang Long

Recently, Contreras et al. \cite{Contreras:2021yxe} introduced a new type of black hole, called hairy Kerr black hole (HKBH), which describes a Kerr BH surrounded by an axially symmetric fluid with conserved energy momentum tensor. In this…

General Relativity and Quantum Cosmology · Physics 2023-09-19 Tieguang Zi , Peng-Cheng Li

We engage with the challenge of calculating the waveforms of gravitational waves emitted by spinless binary black hole merger in extreme mass-ratio limit. We model the stellar-mass black hole as a test-particle, initially on a circular…

General Relativity and Quantum Cosmology · Physics 2025-05-14 Ilan Strusberg , Barak Rom , Re'em Sari

We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 K. Peeters , C. Schweigert , J. W. van Holten

The ringdown of perturbed black holes has been studied since the 1970s, but until recently, studies have focused on linear perturbations. There is now burgeoning interest in nonlinear perturbative effects during ringdown. Here, using a…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Bonga Béatrice , Adam Pound

We present the first numerical simulations of asymptotically flat space-times whose computational domain includes past and future null-infinity. As an application, we explore the scattering of a gravitational wave in a black hole…

General Relativity and Quantum Cosmology · Physics 2025-04-04 Jörg Frauendiener , Chris Stevens , Sebenele Thwala

The mode stability of the Kerr black hole in four dimensions was demonstrated by Whiting in 1989, by separating the Teukolsky equation that describes gravitational perturbations and then transforming the radial and angular equations in such…

General Relativity and Quantum Cosmology · Physics 2022-11-23 M. Cvetic , C. N. Pope , B. F. Whiting , Haoyu Zhang