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We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einstein equations and incorporates several features regarding the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bela Szilagyi , Denis Pollney , Luciano Rezzolla , Jonathan Thornburg , Jeffrey Winicour

To model the interior of a black hole, a study is made of a spin system with long-range random four-spin couplings that exhibits quantum chaos. The black hole limit corresponds to a system where the microstates are approximately degenerate…

High Energy Physics - Theory · Physics 2020-07-15 David A Lowe , Mengyang Tong

We construct a new static, spherically symmetric black hole spacetime embedded in a dark matter halo whose density follows the cored Burkert profile. Starting from the halo-only geometry determined by the rotation curve relation, we solve…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Yi Yang , Gaetano Lambiase , Ali Ovgun , Dong Liu , Zheng-Wen Long

We solve Einstein's constraint equations in the conformal thin-sandwich decomposition to model thin shells of non-interacting particles in circular orbit about a non-rotating black hole. We use these simple models to explore the effects of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Keith Matera , Thomas W. Baumgarte , Eric Gourgoulhon

Significant advances in numerical simulations of black-hole binaries have recently been achieved using the puncture method. We examine how and why this method works by evolving a single black hole. The coordinate singularity and hence the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mark Hannam , Sascha Husa , Denis Pollney , Bernd Bruegmann , Niall O'Murchadha

We report on a new 3D numerical code designed to solve the Einstein equations for general vacuum spacetimes. This code is based on the standard 3+1 approach using cartesian coordinates. We discuss the numerical techniques used in developing…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Peter Anninos , Karen Camarda , Joan Masso , Edward Seidel , Wai-Mo Suen , John Towns

To explain black hole thermodynamics in quantum gravity, one must introduce constraints to ensure that a black hole is actually present. I show that for a large class of black holes, such ``horizon constraints'' allow the use of conformal…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We study linear perturbations about non rotating black hole solutions in scalar-tensor theories, more specifically Horndeski theories. We consider two particular theories that admit known hairy black hole solutions. The first one,…

General Relativity and Quantum Cosmology · Physics 2022-11-03 David Langlois , Karim Noui , Hugo Roussille

In the harmonic description of general relativity, the principle part of Einstein's equations reduces to 10 curved space wave equations for the componenets of the space-time metric. We present theorems regarding the stability of several…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mohammad Motamed , M. Babiuc , B. Szilagyi , H-O. Kreiss , J. Winicour

We investigate the thermodynamics, topology, and geometry of black holes in Lorentz-violating gravity. Modifications in the theory by perturbative parameter lead to coupled changes in horizon structure and thermodynamic behaviour, allowing…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Ankit Anand , Aditya Singh , Anshul Mishra , Saeed Noori Gashti , Takol Tangphati , Phongpichit Channuie

Black hole formation and evaporation is studied in the semiclassical approximation in simple 1+1-dimensional models, with emphasis on issues related to Hawking's information paradox. Exact semiclassical solutions are described and questions…

High Energy Physics - Theory · Physics 2010-11-01 Larus Thorlacius

The relaxation of a distorted black hole to its final state provides important tests of general relativity within the reach of current and upcoming gravitational wave facilities. In black hole perturbation theory, this phase consists of a…

General Relativity and Quantum Cosmology · Physics 2018-03-07 Vishal Baibhav , Emanuele Berti , Vitor Cardoso , Gaurav Khanna

We consider the numerical evolution of black hole initial data sets, consisting of single black holes distorted by strong gravitational waves, with a full 3D, nonlinear evolution code. These data sets mimic the late stages of coalescing…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karen Camarda , Edward Seidel

We consider the one-loop corrected geometry and thermodynamics of a rotating BTZ black hole by way of a dimensionally reduced dilaton model. The analysis begins with a comprehensive study of the non-extremal solution after which two…

High Energy Physics - Theory · Physics 2009-10-31 A. J. M. Medved , G. Kunstatter

We present the black hole solutions and analyse their properties in the superstring effective field theory with the Gauss-Bonnet curvature correction terms. We find qualitative differences in our results from those obtained in the truncated…

High Energy Physics - Theory · Physics 2010-12-06 Kei-ichi Maeda , Nobuyoshi Ohta , Yukinori Sasagawa

The main interest of the work exposed in this thesis is to explore hairy black holes in a more general framework than General Relativity by taking into account the presence of a cosmological constant, of higher dimensions, of exotic matter…

General Relativity and Quantum Cosmology · Physics 2012-11-02 Yannis Bardoux

Recently our understanding of black holes in D-spacetime dimensions, as solutions of the Einstein equation, has advanced greatly. Besides the well established spherical black hole we have now explicitly found other species of topologies of…

High Energy Physics - Theory · Physics 2010-03-12 Maria J. Rodriguez

The Black Hole Uncertainty Principle correspondence proposes a connection between the Uncertainty Principle on microscopic scales and black holes on macroscopic scales. This is manifested in a unified expression for the Compton wavelength…

General Relativity and Quantum Cosmology · Physics 2014-02-07 B. J. Carr

Numerical codes based on a direct implementation of the standard ADM formulation of Einstein's equations have generally failed to provide long-term stable and convergent evolutions of black hole spacetimes when excision is used to remove…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard Kelly , Pablo Laguna , Keith Lockitch , Jorge Pullin , Erik Schnetter , Deirdre Shoemaker , Manuel Tiglio

In this paper we consider the process of alignment of a spinning black hole and a surrounding misaligned accretion disc. We use a simplified set of equations, that describe the evolution of the system in the case where the propagation of…

Astrophysics · Physics 2009-11-11 G. Lodato , J. E. Pringle