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We perform a fully relativistic analysis of even-parity linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations. This paper is a sequel to Kobayashi…

General Relativity and Quantum Cosmology · Physics 2018-12-24 Tsutomu Kobayashi , Hayato Motohashi , Teruaki Suyama

We integrate the third and a half post-Newtonian equations of motion for a fully generic binary black hole system, allowing both for non-circular orbits, and for one or both of the black holes to spin, in any orientation. Using the second…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Brennan Ireland , Ofek Birnholtz , Hiroyuki Nakano , Eric West , Manuela Campanelli

The advancement in gravitational wave detection has made it possible to study the nonlinear effects in black hole perturbations, the modeling of which requires the full knowledge of the linear order perturbation of the metric. For the most…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jianwei Mei

We study gravitational perturbations on the near-horizon region of extremal and near-extremal rotating black holes in a general higher-derivative extension of Einstein gravity. We find a decoupled modified Teukolsky equation that rules the…

General Relativity and Quantum Cosmology · Physics 2024-09-24 Pablo A. Cano , Marina David

We study the interior of distorted stationary rotating black holes on the example of a Kerr black hole distorted by external static and axisymmetric mass distribution. We show that there is a duality transformation between the outer and…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Andrey A. Shoom

Linear perturbation theory is a powerful toolkit for studying black hole spacetimes. However, the perturbation equations are hard to solve unless we can use separation of variables. In the Kerr spacetime, metric perturbations do not…

General Relativity and Quantum Cosmology · Physics 2017-09-14 Baoyi Chen , Leo C. Stein

The standard approach to the numerical evolution of black hole data using the ADM formulation with maximal slicing and vanishing shift is extended to non-symmetric black hole data containing black holes with linear momentum and spin by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernd Bruegmann

In the context of the most general scalar-vector-tensor theory, we study the stability of static spherically symmetric black holes under linear odd-parity perturbations. We calculate the action to second order in the linear perturbations to…

General Relativity and Quantum Cosmology · Physics 2023-04-06 Yolbeiker Rodríguez Baez , Manuel Gonzalez-Espinoza

The odd parity gravitational Quasi-Normal Mode spectrum of black holes with non-trivial scalar hair in Horndeski gravity is investigated. We study `almost' Schwarzschild black holes such that any modifications to the spacetime geometry…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Oliver J. Tattersall

We study the gravitational collapse and formation of the Kerr black hole from the rotating progenitor star. We follow the evolution of black hole spin, coupled with its increasing mass. We study the effect of different level of rotation…

High Energy Astrophysical Phenomena · Physics 2020-12-08 Agnieszka Janiuk , Dominika Król

We model a radiating, moving black hole in terms of a worldtube-nullcone boundary value problem. We evolve this data in the region interior to the worldtube but exterior to a trapped surface by means of a characteristic evolution based upon…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Gomez , L. Lehner , R. L. Marsa , J. Winicour

We derive a stationary and axisymmetric black hole solution to quadratic order in the spin angular momentum. The previously found, linear-in-spin terms modify the odd-parity sector of the metric, while the new corrections appear in the…

General Relativity and Quantum Cosmology · Physics 2017-07-28 Kent Yagi , Nicolas Yunes , Takahiro Tanaka

We investigate the nonlinear evolution of black hole ringdown in the framework of higher-order metric perturbation theory. By solving the initial-value problem of a simplified nonlinear field model analytically as well as numerically, we…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Satoshi Okuzumi , Kunihito Ioka , Masa-aki Sakagami

Tidal coupling between members of a compact binary system can have an interesting and important influence on that binary's dynamical inspiral. Tidal coupling also distorts the binary's members, changing them (at lowest order) from spheres…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Stephen O'Sullivan , Scott A. Hughes

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Nicola Franchini

We study static spherically symmetric black hole solutions with a linearly time-dependent scalar field and discuss their linear stability in the shift- and reflection-symmetric subclass of quadratic degenerate higher-order scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Kazufumi Takahashi , Hayato Motohashi , Masato Minamitsuji

We present numerical evolutions of three equal-mass black holes using the moving puncture approach. We calculate puncture initial data for three black holes solving the constraint equations by means of a high-order multigrid elliptic…

General Relativity and Quantum Cosmology · Physics 2010-12-21 Pablo Galaviz , Bernd Bruegmann , Zhoujian Cao

The nonlinear behavior of higher dimensional black hole spacetimes is of interest in several contexts, ranging from an understanding of cosmic censorship to black hole production in high-energy collisions. However, nonlinear numerical…

General Relativity and Quantum Cosmology · Physics 2014-10-15 Helvi Witek , Hirotada Okawa , Vitor Cardoso , Leonardo Gualtieri , Carlos Herdeiro , Masaru Shibata , Ulrich Sperhake , Miguel Zilhao

We perform a fully relativistic analysis of odd-type linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations in four-dimensional spacetime. It is…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Tsutomu Kobayashi , Hayato Motohashi , Teruaki Suyama

An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. The solution can be completely regularised from any conical…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò