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We present long-term-stable and convergent evolutions of head-on black hole collisions and extraction of gravitational waves generated during the merger and subsequent ring-down. The new ingredients in this work are the use of fixed…

General Relativity and Quantum Cosmology · Physics 2008-11-26 U. Sperhake , B. Kelly , P. Laguna , K. L. Smith , E. Schnetter

In general-relativistic perturbation theory, a point mass accelerates away from geodesic motion due to its gravitational self-force. Because the self-force is small, one can often approximate the motion as geodesic. However, it is well…

General Relativity and Quantum Cosmology · Physics 2016-08-23 Adam Pound

The recent detections of gravitational waves from binary systems of black holes are in remarkable agreement with the predictions of General Relativity. In this pedagogical mini-review, I will go through the physics of the different phases…

General Relativity and Quantum Cosmology · Physics 2021-11-24 Enrico Barausse

We investigate the interference of electromagnetic long waves passing a binary black hole based on the approximate binary black hole metric. The interference pattern of long waves demonstrates strong contrast intensity and changes with…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Qiyun Fu , Tieyan Si

The characteristic initial value problem has been implemented as a robust computational algorithm (the PITT NULL CODE), with direct application to binary black holes. The event horizon can be analyzed by characteristic techniques as a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jeffrey Winicour

Black hole spectroscopy is an important pillar when studying gravitational waves from black holes and enables tests of general relativity. Most of the gravitational-wave signals observed over the last decade originate from binary black hole…

General Relativity and Quantum Cosmology · Physics 2026-01-09 Oliver Steppohn , Sebastian H. Völkel , Tim Dietrich

We present the first simulations in full General Relativity of the head-on collision between a neutron star and a black hole of comparable mass. These simulations are performed through the solution of the Einstein equations combined with an…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Frank Löffler , Luciano Rezzolla , Marcus Ansorg

The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling…

The paper summarizes the parallel session B3 {\em Analytic approximations, perturbation methods, and their applications} of the GR18 conference. The talks in the session reported notably recent advances in black hole perturbations and…

We formulate and calculate the second order quasi-normal modes (QNMs) of a Schwarzschild black hole (BH). Gravitational wave (GW) from a distorted BH, so called ringdown, is well understood as QNMs in general relativity. Since QNMs from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hiroyuki Nakano , Kunihito Ioka

The advent of gravitational wave observation starts a new era of precision tests of gravitational theory. Estimations of black holes mergers should come from any well established gravitational theories, provided that the theory has not been…

General Relativity and Quantum Cosmology · Physics 2020-05-06 Haryanto M. Siahaan

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

This article outlines our derivation of the second order perturbations to a Schwarzschild black hole, highlighting our use of, and necessary reliance on, computer algebra. The particular perturbation scenario that is presented here is the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 George Davies

We present the first simulations of non-headon (grazing) collisions of binary black holes in which the black hole singularities have been excised from the computational domain. Initially two equal mass black holes $m$ are separated a…

Binary black hole (BBH) mergers detected via gravitational waves are addressing key open questions in astrophysics, cosmology, and fundamental physics. Our scientific conclusions rely on extracting accurate source parameters, for which we…

General Relativity and Quantum Cosmology · Physics 2026-03-30 Parthapratim Mahapatra , Jonathan E. Thompson , Edward Fauchon-Jones , Mark Hannam

The purpose of this chapter is to provide an overview of the exciting field of black hole quasi-normal modes and its capabilities to test general relativity in the 21st century. After motivating this line of research, we provide a…

General Relativity and Quantum Cosmology · Physics 2023-05-04 Nicola Franchini , Sebastian H. Völkel

The Standard Model of particle physics predicts the speed of light to be a universal speed of propagation of massless carriers. However, other possibilities exist -- including Lorentz-violating theories -- where different fundamental fields…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Vitor Cardoso , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi

Extremal cosmological black holes are analysed in the framework of the most general second order scalar-tensor theory, the~so-called Horndeski gravity. Such~extremal black holes are a particular case of Schwarzschild-De Sitter black holes…

General Relativity and Quantum Cosmology · Physics 2020-11-19 Ismael Ayuso , Diego Sáez-Chillón Gómez

Employing higher order perturbation theory, we find a new class of charged rotating black hole solutions of Einstein-Maxwell-dilaton theory with general dilaton coupling constant. Starting from the Myers-Perry solutions, we use the electric…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Masoud Allahverdizadeh , Jutta Kunz , Francisco Navarro-Lerida

We investigate the interplay between numerical relativity (NR) and point-particle black hole perturbation theory (ppBHPT) for quasi-circular non-spinning binary black holes in the intermediate mass ratio regime: 7<=q<=128 (where…

General Relativity and Quantum Cosmology · Physics 2023-08-09 Tousif Islam
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