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Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown. We show that the technique of uniform approximations can be used to accurately compute…

High Energy Physics - Theory · Physics 2023-12-12 Bruno Bucciotti , Adrien Kuntz , Francesco Serra , Enrico Trincherini

According to general relativity, an isolated black hole in vacuum shall be described by the Kerr metric, whose geodesic equations are integrable. The violation of integrability leads to chaos for particles moving around the black hole. This…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Che-Yu Chen , Hsu-Wen Chiang , Avani Patel

Much of our physical intuition about black hole quasinormal modes in general relativity comes from the eikonal/geometric optics approximation. According to the well-established eikonal model, the fundamental quasinormal mode represents…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Kostas Glampedakis , Hector O. Silva

We present an exact solution of Einstein's equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr-Newman black hole. The backreacted metric is of the generalized Kerr-Schild form and is Type II…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yoni BenTov , Joe Swearngin

We present a systematic construction of the Penrose coordinates and plane wave limits of spacetimes for which both the null Hamilton-Jacobi and geodesic equations separate. The method is illustrated for the Kerr-NUT-(A)dS four-dimensional…

High Energy Physics - Theory · Physics 2021-09-22 G. Papadopoulos

The fundamental resonances of rapidly rotating Kerr black holes in the eikonal limit are derived analytically. We show that there exists a critical value, $\mu_c=\sqrt{{{15-\sqrt{193}}\over{2}}}$, for the dimensionless ratio $\mu\equiv m/l$…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Shahar Hod

We study the order ten polynomial equation satisfied by the radius of the spherical timelike orbits for a massive particle with a generic energy around a Kerr black hole. Even though the radii of the prograde and retrograde orbits at the…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Aydin Tavlayan , Bayram Tekin

The nonlinear character of general relativity leaves its imprint in the coalescence of two black holes, from the inspiral to the final ringdown stage. To quantify the impact of nonlinearities, we work at second order in black hole…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Jaime Redondo-Yuste , Gregorio Carullo , Justin L. Ripley , Emanuele Berti , Vitor Cardoso

The ''ringdown'' stage of gravitational-wave signals from binary black hole mergers, mainly consisting of a superposition of quasinormal modes emitted by the merger remnant, is a key tool to test fundamental physics and to probe black hole…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Francesco Crescimbeni , Gregorio Carullo , Emanuele Berti , Giada Caneva Santoro , Mark Ho-Yeuk Cheung , Paolo Pani

In this article, we investigate the bound orbits of the timelike particles and the gravitational waveforms emitted from these orbits around a renormalization group improved Kerr black hole in the framework of the asymptotic safety approach.…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Yong-Zhuang Li , Xiao-Mei Kuang

In this work, we have calculated the polar gravitational quasinormal modes for a quantum corrected black hole model, that arises in the context of Loop Quantum Gravity, known as Self-Dual Black Hole. In this way, we have calculated the…

General Relativity and Quantum Cosmology · Physics 2020-09-09 M. B. Cruz , F. A. Brito , C. A. S. Silva

Gravitational waves from the explosive merger of distant black holes are encoded with details regarding the complex extreme-gravity spacetime present at their source. Famously described by the Kerr spacetime metric for rotating black holes…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Zack Carson , Kent Yagi

Motivated by novel results in the theory of black-hole quantization, we study {\it analytically} the quasinormal modes (QNM) of ({\it rotating}) Kerr black holes. The black-hole oscillation frequencies tend to the asymptotic value…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Shahar Hod

We study the quasinormal modes of massive Dirac spinors in the background of rotating black holes. In particular, we consider the Kerr geometry as well as the five dimensional Myers-Perry spacetime with equal angular momenta. We decouple…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Jose Luis Blázquez-Salcedo , Christian Knoll

In the analysis of a binary black hole coalescence, it is necessary to include gravitational self-interactions in order to describe the transition of the gravitational wave signal from the merger to the ringdown stage. In this paper we…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Macarena Lagos , Lam Hui

Based on the work of Chen, L\"u and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$.…

High Energy Physics - Theory · Physics 2011-07-06 H. T. Cho , Jason Doukas , Wade Naylor , A. S. Cornell

Black hole spectroscopy is the program to measure the complex gravitational-wave frequencies of merger remnants, and to quantify their agreement with the characteristic frequencies of black holes computed at linear order in black hole…

General Relativity and Quantum Cosmology · Physics 2023-11-17 Vishal Baibhav , Mark Ho-Yeuk Cheung , Emanuele Berti , Vitor Cardoso , Gregorio Carullo , Roberto Cotesta , Walter Del Pozzo , Francisco Duque

This paper establishes the existence of quasinormal frequencies converging exponentially to the real axis for the Klein--Gordon equation on a Kerr-AdS spacetime when Dirichlet boundary conditions are imposed at the conformal boundary. The…

Analysis of PDEs · Mathematics 2017-03-29 Oran Gannot

We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Pablo A. Cano , Kwinten Fransen , Thomas Hertog

Quasinormal modes of black holes were previously calculated in a non-linear electrodynamics and in the Gauss-Bonnet gravity theory. Here we take into consideration both of the above factors and find quasinormal modes of a (massive) scalar…

General Relativity and Quantum Cosmology · Physics 2020-05-04 M. S. Churilova , Z. Stuchlik