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I review the development of numerical evolution codes for general relativity based upon the characteristic initial value problem. Progress is traced from the early stage of 1D feasibility studies to 2D axisymmetric codes that accurately…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Jeffrey Winicour

Black holes are superb sources of gravitational wave signals, for example when they are born in stellar collapse. We explore the subtleties that may emerge if mass accretion events increase significantly the mass of the black hole during…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Philippos Papadopoulos , Jose A. Font

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

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 propose a new radial coordinate to write the Kerr metric in puncture form. Unlike the quasi-radial coordinate introduced previously, the horizon radius remains finite in our radial coordinate in the extreme Kerr limit a/M -> 1. This…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Yuk Tung Liu , Zachariah B. Etienne , Stuart L. Shapiro

We present a singularity excision algorithm appropriate for numerical simulations of black holes moving throughout the computational domain. The method is an extension of the excision procedure previously used to obtain stable simulations…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. Shoemaker , K. Smith , U. Sperhake , P. Laguna , E. Schnetter , D. Fiske

A preliminary discussion is given of the prospects that gravitational-wave observations of binary inspiral of black holes could reveal or constrain quantum modifications to black hole dynamics, such as are required to preserve postulates of…

General Relativity and Quantum Cosmology · Physics 2016-11-08 Steven B. Giddings

A perturbed black hole rings down by emitting gravitational waves in tones with specific frequencies and durations. Such tones encode prized information about the geometry of the source spacetime and the fundamental nature of gravity,…

General Relativity and Quantum Cosmology · Physics 2021-07-15 Maximiliano Isi , Will M. Farr

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

Theories of dynamical electroweak symmetry breaking predict a strong first order cosmological phase transition: we compute the resulting signals, primordial black holes and gravitational waves. These theories employ one SM-neutral scalar,…

High Energy Physics - Phenomenology · Physics 2025-03-06 Martín Arteaga , Anish Ghoshal , Alessandro Strumia

Black holes accreting well below the Eddington rate are believed to have geometrically thick, optically thin, rotationally supported accretion discs in which the Coulomb mean free path is large compared to $GM/c^2$. In such an environment,…

High Energy Astrophysical Phenomena · Physics 2016-01-25 Francois Foucart , Mani Chandra , Charles F. Gammie , Eliot Quataert

Gravitational wave observations of eccentric binary black hole mergers will provide unequivocal evidence for the formation of these systems through dynamical assembly in dense stellar environments. The study of these astrophysically…

General Relativity and Quantum Cosmology · Physics 2019-09-06 E. A. Huerta , Roland Haas , Sarah Habib , Anushri Gupta , Adam Rebei , Vishnu Chavva , Daniel Johnson , Shawn Rosofsky , Erik Wessel , Bhanu Agarwal , Diyu Luo , Wei Ren

Recent detections of gravitational waves from merging binary black holes opened new possibilities to study the evolution of massive stars and black hole formation. In particular, stellar evolution models may be constrained on the basis of…

High Energy Astrophysical Phenomena · Physics 2018-09-11 Irina Dvorkin , Jean-Philippe Uzan , Elisabeth Vangioni , Joseph Silk

An axisymmetric collapse of non-rotating gravitational waves is numerically investigated in the subcritical regime where no black holes form but where curvature attains a maximum and decreases, following the dispersion of the initial wave…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Evgeny Sorkin

It has been shown that black hole quasinormal modes are subject to spectral instability, typically triggered by metric perturbations. These perturbations, which can introduce a minor bump in the effective potential of the wave equation,…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Ramin G. Daghigh , Guan-Ru Li , Wei-Liang Qian , Stefan J. Randow

In this paper, we investigate the dynamical formation and evolution of 2 + 1-dimensional charged black holes. We numerically study dynamical collapses of charged matter fields in an anti de Sitter background and note the formation of black…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Dong-il Hwang , Hongbin Kim , Dong-han Yeom

When using the black hole exclusion (horizon boundary condition) technique, $K$ is usually nonzero and spatially variable, so none of the special cases of York's conformal-decomposition algorithm apply, and the full 4-vector nonlinear York…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Jonathan Thornburg

We describe the methods and results of numerical simulations of coalescing black holes. The simulation in dynamical spacetime covers the inspiral, merger, and ringdown phases. We analyze the emission of gravitational waves and properties of…

High Energy Astrophysical Phenomena · Physics 2016-05-20 Agnieszka Janiuk , Szymon Charzynski

The availability of accurate numerical waveforms is an important requirement for the creation and calibration of reliable waveform models for gravitational wave astrophysics. For black hole-neutron star binaries, very few accurate waveforms…

The growing number of gravitational-wave detections from binary black holes enables increasingly precise measurements of their population properties. The observed population is most likely drawn from multiple formation channels.…

High Energy Astrophysical Phenomena · Physics 2025-08-28 Storm Colloms , Christopher P L Berry , John Veitch , Michael Zevin
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