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General relativity predicts that black holes are described by the Kerr metric, which has integrable geodesics. This property is crucial to produce accurate waveforms from extreme-mass-ratio inspirals. Astrophysical environments,…

General Relativity and Quantum Cosmology · Physics 2023-10-31 Kyriakos Destounis , Federico Angeloni , Massimo Vaglio , Paolo Pani

We derive the approximate, ``analytic-kludge'' (AK) waveforms for the inspiral of a charged stellar-mass compact object (CO) into a charged massive Kerr-Newman (KN) black hole (BH). The modifications of the inspiral orbit due to the charges…

General Relativity and Quantum Cosmology · Physics 2023-01-25 Tieguang Zi , Ziqi Zhou , Hai-Tian Wang , Peng-Cheng Li , Jian-dong Zhang , Bin Chen

Using the Kerr-Schild formalism to solve the Einstein-Maxwell equations, we study energy transport due to time-dependent electromagnetic perturbations around a Kerr black hole, which may work as a mechanism to illuminate a disk located on…

General Relativity and Quantum Cosmology · Physics 2010-09-14 Taichi Kobayashi , Kohei Onda , Akira Tomimatsu

Although gravitational waves tend to erase eccentricity of an inspiraling binary system, ellipticity can be generated in the presence of surrounding matter. We present a semi-analytical method for understanding the eccentricity distribution…

General Relativity and Quantum Cosmology · Physics 2018-01-31 Lisa Randall , Zhong-Zhi Xianyu

The equations of null geodesics in the STU family of rotating black hole solutions of supergravity theory, which may be considered as deformations of the vacuum Kerr metric, are completely integrable. We propose that they be used as a foil…

General Relativity and Quantum Cosmology · Physics 2019-04-26 M. Cvetic , G. W. Gibbons , C. N. Pope

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka

The open question of whether a Kerr black hole can become tidally deformed or not has profound implications for fundamental physics and gravitational-wave astronomy. We consider a Kerr black hole embedded in a weak and slowly varying, but…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Alexandre Le Tiec , Marc Casals , Edgardo Franzin

We study gravitational-wave emission from the quasi-circular, extreme mass ratio inspiral of compact objects of mass m0 into massive objects of mass M>>m0 whose external metric is identical to the Schwarzschild metric, except for the…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Paolo Pani , Emanuele Berti , Vitor Cardoso , Yanbei Chen , Richard Norte

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

In this numerical work, we deal with two distinct problems concerning the propagation of waves in cosmological backgrounds. In both cases, we employ a spacetime foliation given in terms of compactified hyperboloidal slices. These slices…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Flavio Rossetti , Alex Vañó-Viñuales

Quasinormal modes and power-law late-time decay tails of a charged scalar field on a charged black hole have been considered in the literature, and here we use the hyperboloidal formalism to present an independent comparison to prior…

General Relativity and Quantum Cosmology · Physics 2026-01-21 João D. Álvares , Alex Vañó-Viñuales

The space based interferometer LISA will be capable of detecting the gravitational waves emitted by stellar mass black holes or neutron stars slowly inspiralling into the supermassive black holes found in the centre of most galaxies. The…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Christopher J. Moore , Alvin J. K. Chua , Jonathan R. Gair

Motivated by the goal for high accuracy modeling of gravitational radiation emitted by isolated systems, recently, there has been renewed interest in the numerical solution of the hyperboloidal initial value problem for Einstein's field…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Manuel D. Morales , Olivier Sarbach

We find an exact spherically symmetric magnetically charged black hole solution to general relativity (GR) coupled to nonlinear electrodynamics (NED) with an appropriate Lagrangian density. In turn, starting with this spherical black hole…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Sushant G. Ghosh , Rahul Kumar walia

The coalescence of a stellar-mass compact object together with an intermediate-mass black hole, also known as intermediate-mass-ratio inspiral, is usually not expected to be a viable gravitational wave source for the current ground-based…

General Relativity and Quantum Cosmology · Physics 2017-10-03 Wen-Biao Han , Zhoujian Cao , Yi-Ming Hu

We present results from a new code for binary black hole evolutions using the moving-puncture approach, implementing finite differences in generalised coordinates, and allowing the spacetime to be covered with multiple communicating…

General Relativity and Quantum Cosmology · Physics 2011-03-23 Denis Pollney , Christian Reisswig , Erik Schnetter , Nils Dorband , Peter Diener

We study the potential of gravitational wave astronomy to observe the quantum aspects of black holes. According to Bekenstein's quantization, we find that black hole area discretization can have observable imprints on the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Sayak Datta , Khun Sang Phukon

We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. $r-\varphi$ and $r-t$ noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

Inspirals of stellar-mass compact objects into $\sim 10^6 M_{\odot}$ black holes are especially interesting sources of gravitational waves for LISA. We investigate whether the emitted waveforms can be used to strongly constrain the geometry…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Curt Cutler

We investigate the imprints of chaos in gravitational waves from extreme-mass-ratio inspirals configuration, where a stellar massive object, confined in a harmonic potential, orbits a supermassive Schwarzschild-like black hole embedded in a…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Surajit Das , Surojit Dalui , Bum-Hoon Lee , Yi-Fu Cai