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Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the harmonic slicing condition is presented.…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Carles Bona , Joan Masso , Joan Stela

With the puncture method for black hole simulations, the second infinity of a wormhole geometry is compactified to a single "puncture point" on the computational grid. The region surrounding the puncture quickly evolves to a trumpet…

General Relativity and Quantum Cosmology · Physics 2009-11-05 J. David Brown

Regular black holes have become a popular alternative to the singular mathematical black holes predicted by general relativity as they circumvent mathematical pathologies associated with the singularity while preserving crucial black hole…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Ioannis Soranidis

The squashed Kaluza-Klien (KK) black holes differ from the Schwarzschild black holes with asymptotic flatness or the black strings even at energies for which the KK modes are not excited yet, so that squashed KK black holes open a window in…

High Energy Physics - Theory · Physics 2009-11-13 Hideki Ishihara , Masashi Kimura , Roman A. Konoplya , Keiju Murata , Jiro Soda , Alexander Zhidenko

We extend previous work on 3D black hole excision to the case of distorted black holes, with a variety of dynamic gauge conditions that are able to respond naturally to the spacetime dynamics. We show that the combination of excision and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Miguel Alcubierre , Bernd Bruegmann , Denis Pollney , Edward Seidel , Ryoji Takahashi

We study the stability of standing shock waves in advection-dominated accretion flows into a Schwarzschild black hole by 2D general relativistic hydrodynamic simulations as well as linear analysis in the equatorial plane. We demonstrate…

Astrophysics · Physics 2009-11-13 Hiroki Nagakura , Shoichi Yamada

We investigate axial gravitational perturbations and quasinormal modes of regular black holes supported by an Einasto distribution of matter. Halo matter not only removes the central singularity but also modifies the quasinormal spectrum.…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Mardon Abdullaev , Munisbek Akhmedov

Nonlinear tails in black hole perturbations, arising from second-order effects, present a distinct departure from the well-known Price tail of linear theory. We present an analytical derivation of the power law indices and amplitudes for…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Siyang Ling , Sabeela Shah , Sam S. C. Wong

The moving puncture method is analyzed for a single, non-spinning black hole. It is shown that the puncture region is not resolved by current numerical codes. As a result, the geometry near the puncture appears to evolve to an infinitely…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. David Brown

It was recently shown that spacetime singularities in numerical relativity could be avoided by excising a region inside the apparent horizon in numerical evolutions. In this paper we report on the details of the implementation of this…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Peter Anninos , Greg Daues , Joan Masso , Edward Seidel , Wai-Mo Suen

In the curved spacetime of a black hole, quantum physics gives rise to distinctive effects such as Hawking radiation and maximally fast scrambling. Here, we present a scheme for an analogue quantum simulation of (1 + 1) and (2 +…

Quantum Gases · Physics 2025-03-13 Asmae Benhemou , Georgia Nixon , Aydin Deger , Ulrich Schneider , Jiannis K. Pachos

We propose a physically sensible formulation of initial value problem for black hole perturbations in higher-order scalar-tensor theories. As a first application, we study monopole perturbations around stealth Schwarzschild solutions in a…

General Relativity and Quantum Cosmology · Physics 2022-08-19 Keisuke Nakashi , Masashi Kimura , Hayato Motohashi , Kazufumi Takahashi

Analytical studies and numerical simulations of time dependent axially symmetric flows onto black holes have shown that it is possible to produce stationary shock waves with a stable position both for ideal inviscid and for moderately…

Astrophysics · Physics 2019-08-17 Diego Molteni , Gabor Toth , Oleg A. Kuznetsov

In backgrounds with compact dimensions there may exist several phases of black objects including the black-hole and the black-string. The phase transition between them raises puzzles and touches fundamental issues such as topology change,…

High Energy Physics - Theory · Physics 2009-11-10 Barak Kol , Evgeny Sorkin , Tsvi Piran

The puncture method specifies black hole data on a hypersurface with the aid of a conformal rescaling of the metric that exhibits a coordinate singularity at the puncture point. When constructing puncture initial data by solving the…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Tim Dietrich , Bernd Bruegmann

This is the second in a series of papers describing a 3+1 computational scheme for the numerical simulation of dynamic black hole spacetimes. We discuss the numerical time-evolution of a given black-hole-containing initial data slice in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jonathan Thornburg

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

Perturbative dynamics of gravity is investigated for high energy scattering and in black hole backgrounds. In the latter case, a straightforward perturbative analysis fails, in a close parallel to the failure of the former when the impact…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings

We reformulate the theory of Schwarzschild black hole perturbations in terms of the metric perturbation in the Lorenz gauge. In this formulation, each tensor-harmonic mode of the perturbation is constructed algebraically from 10 scalar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Leor Barack , Carlos O. Lousto

The non-linear generation of harmonics in gravitational perturbations of black holes is explored using numerical relativity based on an in-going light-cone framework. Localised, finite, perturbations of an isolated black hole are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Philippos Papadopoulos