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Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Adam Pound , Barry Wardell

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We study the dynamics of a pair of extremal (half-BPS) black holes in $\mathcal{N}=8$ supergravity, as a potentially solvable model of gravitational dynamics. As a diagnosis of hidden symmetries, we ask whether the perihelion of the orbits…

High Energy Physics - Theory · Physics 2019-09-04 Simon Caron-Huot , Zahra Zahraee

We present here an alternative approach to data setting for spacetimes with multiple moving black holes generalizing the Kerr-Schild form for rotating or non-rotating single black holes to multiple moving holes. Because this scheme…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Richard A. Matzner , Mijan F. Huq , Deirdre Shoemaker

We present a new technique for time-domain numerical evolution of the scalar field generated by a pointlike scalar charge orbiting a black hole. Time-domain evolution offers an efficient way for calculating black hole perturbations,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Darren A Golbourn

We construct dynamical many-black-hole spacetimes with well-controlled asymptotic behavior as solutions of the Einstein vacuum equation with positive cosmological constant. We accomplish this by gluing Schwarzschild-de Sitter or Kerr-de…

Analysis of PDEs · Mathematics 2020-01-29 Peter Hintz

We describe a new kludge scheme to model the dynamics of generic extreme-mass-ratio inspirals (EMRIs; stellar compact objects spiraling into a spinning supermassive black hole) and their gravitational-wave emission. The Chimera scheme is a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Carlos F. Sopuerta , Nicolas Yunes

We consider the thermodynamics of rotating and charged asymptotically de Sitter black holes. Using Hamiltonian perturbation theory techniques, we derive three different first law relations including variations in the cosmological constant,…

High Energy Physics - Theory · Physics 2013-05-22 Brian P. Dolan , David Kastor , David Kubiznak , Robert B. Mann , Jennie Traschen

In computational relativity, critical behaviour near the black hole threshold has been studied numerically for several models in the last decade. In this paper we present a spatial Galerkin method, suitable for finding numerical solutions…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Benedikt Zeller , Ralf Hiptmair

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

Direct detection of gravitational waves and binary black hole mergers have proven to be remarkable investigations of general relativity. In order to have a definitive answer as to whether the black hole spacetime under test is the Kerr or…

General Relativity and Quantum Cosmology · Physics 2024-04-03 Abhishek Chowdhuri , Arpan Bhattacharyya , Shailesh Kumar

We construct a closed-form, fully analytical 4-metric that approximately represents the spacetime evolution of non-precessing, spinning black hole binaries from infinite separations up to a few orbits prior to merger. We employ the…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Louis Gallouin , Hiroyuki Nakano , Nicolas Yunes , Manuela Campanelli

We present a detailed description of techniques developed to combine 3D numerical simulations and, subsequently, a single black hole close-limit approximation. This method has made it possible to compute the first complete waveforms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Baker , M. Campanelli , C. Lousto

Many astrophysical simulations involve extreme dynamic range of timescales around 'special points' in the domain (e.g. black holes, stars, planets, disks, galaxies, shocks, mixing interfaces), where processes on small scales couple strongly…

Instrumentation and Methods for Astrophysics · Physics 2026-05-11 Philip F. Hopkins , Elias R. Most

Different formulations of Einstein's equations used in numerical relativity can affect not only the stability but also the accuracy of numerical simulations. In the original Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation, the loss of…

General Relativity and Quantum Cosmology · Physics 2015-08-06 Hwei-Jang Yo , Zhoujian Cao , Chun-Yu Lin , Hsing-Po Pan

We demonstrate that evolutions of three-dimensional, strongly non-linear gravitational waves can be followed in numerical relativity, hence allowing many interesting studies of both fundamental and observational consequences. We study the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Gabrielle Allen , Bernd Bruegmann , Gerd Lanfermann , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

Recent perturbative studies have shown the existence of long-lived, quasi-stationary configurations of scalar fields around black holes. In particular, such configurations have been found to survive for cosmological timescales, which is a…

General Relativity and Quantum Cosmology · Physics 2015-07-31 Nicolas Sanchis-Gual , Juan Carlos Degollado , Pedro J. Montero , José A. Font

We investigate a static, spherically symmetric black hole solution arising from Einstein gravity coupled to a confining nonlinear electrodynamics model that reproduces Maxwell theory in the strong-field regime while introducing…

High Energy Astrophysical Phenomena · Physics 2025-12-23 Erdem Sucu , Izzet Sakallı , Orhan Donmez , G. Mustafa

According to Noether's theorem the presence of a continuous symmetry in a Hamiltonian systems is equivalent to the existence of a conserved quantity, yet these symmetries are not always explicitly enforced in data-driven models. There…

Numerical Analysis · Mathematics 2026-02-04 Henri Klintebäck , Christoph Ortner , Lior Silberman

Extreme mass ratio inspirals (EMRIs), where a compact object orbits a massive black hole, are a key source of gravitational waves for the future Laser Interferometer Space Antenna (LISA). Due to their small mass ratio, ($\epsilon \sim…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Philip Lynch , Vojtěch Witzany , Maarten van de Meent , Niels Warburton