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Within linearized perturbation theory, black holes decay to their final stationary state through the well-known spectrum of quasinormal modes. Here we numerically study whether nonlinearities change this picture. For that purpose we study…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Enrique Pazos , David Brizuela , Jose M. Martin-Garcia , Manuel Tiglio

A compact object moving on a quasicircular orbit about a Schwarzschild black hole gradually spirals inward due to the dissipative action of its gravitational self-force. But in addition to driving the inspiral, the self-force has a…

General Relativity and Quantum Cosmology · Physics 2014-10-24 Adam Pound

We use an approximation of the Regge-Wheeler-Zerilli potential, known as P\"{o}schl-Teller, to exactly compute the time-domain Green function of black hole perturbations in this simplified model, taking into account all causality…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Adrien Kuntz

We study numerically in the time domain the linearized gravitational waves emitted from a plunge into a nearly extremal Kerr black hole by solving the inhomogeneous Teukolsky equation. We consider spinning black holes for which the specific…

General Relativity and Quantum Cosmology · Physics 2016-11-02 Lior M. Burko , Gaurav Khanna

It is shown that the axial and polar perturbations of the spherically symmetric black hole can be described in a gauge-invariant way. The reduced phase space describing gravitational waves outside of the horizon is described by the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jacek Jezierski

We study the plunge and merger of a non-spinning particle falling into a Kerr black hole following an eccentric planar inspiral. The dynamics is driven by an effective-one-body radiation reaction, and the corresponding numerical…

General Relativity and Quantum Cosmology · Physics 2026-03-23 Simone Albanesi , Sebastiano Bernuzzi , Alessandro Nagar

Recent years have seen the first production of "post-adiabatic" gravitational-waveform models based on second-order gravitational self-force theory. These models rely on calculations of an effective source in the perturbative second-order…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Samuel D. Upton , Barry Wardell , Adam Pound , Niels Warburton , Leor Barack

By using the complex angular momentum approach, we prove that the quasinormal mode complex frequencies of the Schwarzschild black hole are Breit-Wigner type resonances generated by a family of surface waves propagating close to the unstable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yves Décanini , Antoine Folacci , Bruce Jensen

Quasinormal modes are excited during the ringdown phase of black holes after merger. Determination of quasinormal modes of rapidly rotating black holes in alternative theories of gravity has remained a challenge for a long time. Here we…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Jose Luis Blázquez-Salcedo , Fech Scen Khoo , Burkhard Kleihaus , Jutta Kunz

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Jian-hua He , Zhenyu Wu

The merger of binary black holes produces a series of decaying oscillations, during which energy is radiated in gravitational waves. The characteristic signal in the ringdown phase can be described by complex oscillation frequencies called…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Yanqiang Liu , Benrong Mu , Jun Tao , Yuling Weng

Binary black hole mergers with asymmetric component masses are key targets for both third-generation ground-based and future space-based gravitational-wave (GW) detectors, offering unique access to the strong-field dynamics of gravity. The…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Daiki Watarai , Kent Yagi , Shammi Tahura

Numerical relativity has recently yielded a plethora of results about kicks from spinning mergers which has, in turn, vastly increased our knowledge about the spin interactions of black hole systems. In this work we use black hole…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Yasushi Mino , Jeandrew Brink

We develop a waveform model to describe the inspiral, merger and ringdown of binary systems with comparable and intermediate mass-ratios. This model incorporates first-order conservative self-force corrections to the energy and angular…

General Relativity and Quantum Cosmology · Physics 2014-07-11 E. A. Huerta , Prayush Kumar , Jonathan R. Gair , Sean T. McWilliams

We discuss simple integration methods for the calculation of rotating black hole scattering resonances both in the complex frequency plane (quasinormal modes) and the complex angular momentum plane (Regge poles). Our numerical schemes are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 K. Glampedakis , N. Andersson

We model the quasicircular inspiral of a compact object into a more massive charged black hole. Extreme and intermediate mass-ratio inspirals are considered through a small mass-ratio approximation. Reissner-Nordstr$\ddot{\text{o}}$m…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Ruomin Zhu , Thomas Osburn

We advocate for an alternative description of gravitational radiation from black holes based on complex angular momentum techniques (analytic continuation of partial wave expansions, duality of the ${\cal S}$-matrix and effective…

General Relativity and Quantum Cosmology · Physics 2020-04-17 Antoine Folacci , Mohamed Ould El Hadj

By using complex angular momentum techniques, we study the electromagnetic radiation generated by a charged particle falling radially from infinity into a Schwarzschild black hole. We consider both the case of a particle initially at rest…

General Relativity and Quantum Cosmology · Physics 2020-07-07 Antoine Folacci , Mohamed Ould El Hadj

We find the gravitational resonance (quasinormal) modes of the higher dimensional Schwarzschild and Reissner-Nordstrem black holes. The effect on the quasinormal behavior due to the presence of the $\lambda$ term is investigated. The QN…

High Energy Physics - Theory · Physics 2009-11-10 R. A. Konoplya

We adapt a method of matching post-Newtonian and black-hole-perturbation theories on a timelike surface (which proved useful for understanding head-on black-hole-binary collisions) to treat equal-mass, inspiralling black-hole binaries. We…

General Relativity and Quantum Cosmology · Physics 2012-02-22 David A. Nichols , Yanbei Chen