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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

The hoop conjecture is well confirmed in momentarily static spaces, but it has not been investigated systematically for the system with relativistic motion. To confirm the hoop conjecture for non-time-symmetric initial data, we consider the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Hirotaka Yoshino , Yasusada Nambu , Akira Tomimatsu

A general analysis for characterizing and classifying `isolated horizons' is presented in terms of null tetrads and spin coefficients. The freely specifiable spin coefficients corresponding to isolated horizons are identified and specific…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. Date

This is the second in a series of two papers to establish the conjectured mass-angular momentum inequality for multiple black holes, modulo the extreme black hole 'no hair theorem'. More precisely it is shown that either there is a…

Differential Geometry · Mathematics 2025-01-28 Qing Han , Marcus Khuri , Gilbert Weinstein , Jingang Xiong

Measurements of the dynamical environment of supermassive black holes (SMBHs) are becoming abundant and precise. We use such measurements to look for ultralight dark matter (ULDM), which is predicted to form dense cores ("solitons") in the…

Cosmology and Nongalactic Astrophysics · Physics 2019-09-16 Nitsan Bar , Kfir Blum , Thomas Lacroix , Paolo Panci

Near the horizon, the obvious symmetries of a black hole spacetime---the horizon-preserving diffeomorphisms---are enhanced to a larger symmetry group with a BMS${}_3$ algebra. Using dimensional reduction and covariant phase space…

General Relativity and Quantum Cosmology · Physics 2018-03-14 S. Carlip

Black hole mass, along with mass accretion rate, is a fundamental property of active galactic nuclei. Black hole mass sets an approximate upper limit to AGN energetics via the Eddington limit. We collect and compare all AGN black hole mass…

Astrophysics · Physics 2009-11-07 Jong-Hak Woo , C. Megan Urry

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

We analytically solve the constraints in General Relativity for two black holes with arbitrary momenta and spin up to third order in these parameters. We compute the location and geometry of the apparent horizon, which depend on the spins,…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Leyla Ogurol , Tore Boybeyi , Bayram Tekin

If the dark matter is made of ultra-light axions, stable solitonic cores form at the centers of virialized halos. In some range for the mass $m$ of the axion particle, these cores are sufficiently compact and can mimic supermassive black…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-08 Vincent Desjacques , Adi Nusser

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno

Skyrme theory is among the viable effective theories which emerge from low-energy limit of quantum chromodynamics. Many of its generalizations include also a dilaton. Here we find new self-gravitating solutions, both solitons and black…

General Relativity and Quantum Cosmology · Physics 2012-06-12 Daniela D. Doneva , Ivan Zh. Stefanov , Stoytcho S. Yazadjiev

Using ideas employed in higher dimensional gravity, non-expanding, weakly isolated and isolated horizons are introduced and analyzed in 2+1 dimensions. While the basic definitions can be taken over directly from higher dimensions, their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhay Ashtekar , Olaf Dreyer , Jacek Wisniewski

We present an exact black hole solution in a model having besides gravity a dilaton and a monopole field, which is a generalization of a black hole solution we have found. The new solution, as the previous one, has three free parameters,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Kyriakopoulos

In this paper a lower bound for the ADM mass is given in terms of the angular momenta and charges of black holes present in axisymmetric initial data sets for the Einstein-Maxwell equations. This generalizes the mass-angular momentum-charge…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Marcus Khuri , Gilbert Weinstein

Numerical studies of gravitational collapse to black holes make use of apparent horizons, which are intrinsically foliation-dependent. We expose the problem and discuss possible solutions using the Hawking quasilocal mass. In spherical…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Valerio Faraoni , George F. R. Ellis , Javad T. Firouzjaee , Alexis Helou , Ilia Musco

In this paper the static, spherically symmetric and electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton are investigated numerically. The Continuous Analog of Newton Method (CANM) is used to solve…

General Relativity and Quantum Cosmology · Physics 2007-05-23 T. L. Boyadjiev , P. P. Fiziev

We use group theoretic methods to obtain the extended Lie point symmetries of the quantum dynamics of a scalar particle probing the near horizon structure of a black hole. Symmetries of the classical equations of motion for a charged…

High Energy Physics - Theory · Physics 2010-10-27 K. Maharana

The ADM masses of particle-like solutions to the Einstein-Yang/Mills Equations tend to 2 as the number of nodes of the solutions increases. The same result is true for black hole solutions with event horizon less than 1. For event horizon…

General Relativity and Quantum Cosmology · Physics 2015-08-28 J. A. Smoller , A. G. Wasserman

A detailed analysis of the spherically symmetric isolated horizon system is performed in terms of the connection formulation of general relativity. The system is shown to admit a manifestly SU(2) invariant formulation where the (effective)…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Jonathan Engle , Karim Noui , Alejandro Perez , Daniele Pranzetti