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We study black holes produced by the collapse of a spherically symmetric charged scalar field in asymptotically flat space. We employ a late time expansion and show decaying fluxes of radiation through the event horizon imply the black hole…

General Relativity and Quantum Cosmology · Physics 2019-12-03 Paul M. Chesler , Ramesh Narayan , Erik Curiel

By a simple modification of Hawking's well-known topology theorems for black hole horizons, we find lower bounds for the areas of smooth apparent horizons and smooth cross-sections of stationary black hole event horizons of genus $g>1$ in…

General Relativity and Quantum Cosmology · Physics 2009-10-31 E. Woolgar

We present an introduction to dynamical trapping horizons as quasi-local models for black hole horizons, from the perspective of an Initial Value Problem approach to the construction of generic black hole spacetimes. We focus on the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 José Luis Jaramillo

The new solution of the Einstein equations in empty space is presented. The solution is constructed using Schwarzschild solution but essentially differs from it. The basic properties of the solution are: the existence of a horizon which is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. S. Dolgov

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

A star surrounded by a black hole generated by it is analyzed. For an outer static observer the black hole mass (and radius) depends on his position in the gravitational field of the star. In spite of the black hole presence, the geometry…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Hristu Culetu

We study the wave equation for a stationary Lorentzian metric in the case of two space dimensions. Assuming that the metric has a singularity of the appropriate form, surrounded by an ergosphere which is a smooth Jordan curve, we prove the…

Mathematical Physics · Physics 2016-08-10 Gregory Eskin , Michael A Hall

The Penrose inequality estimates the lower bound of the mass of a black hole in terms of the area of its horizon. This bound is relatively loose for extremal or near extremal black holes. We propose a new Penrose-like inequality for static…

General Relativity and Quantum Cosmology · Physics 2022-10-21 H. Khodabakhshi , H. Lu , Run-Qiu Yang

This paper consists of two parts. In the first part we describe the recent works on the inverse problems for the wave equation in $(n+1)$-dimensional space equipped with pseudo-Riemannian metric with Lorentz signature. We study the…

Analysis of PDEs · Mathematics 2014-07-22 Gregory Eskin

Black hole spacetimes contain several geometrically distinguished hypersurfaces, including event and Cauchy horizons, stationary-limit surfaces, curvature singularities, and asymptotic infinity. These structures are usually identified by…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Cagdas Ulus Agca , Bayram Tekin

For a stationary spacetime metric, black holes are spatial regions which disturbances may not propagate out of. In our previous work an existence and regularity theorem was proven for black holes in two space dimensions, in the case where…

Analysis of PDEs · Mathematics 2018-09-24 Gregory Eskin , Michael Hall

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

A general formulation of the basic conflict of the information problem is given, encapsulated in a "black hole theorem." This is framed in a more general context than the usual one of quantum field theory on a background, and is based on…

High Energy Physics - Theory · Physics 2023-02-27 Steven B. Giddings

A new class of black hole solutions of the five dimensional minimal gauged supergravity is presented. They are characterized by the mass, the electric charge, two equal magnitude angular momenta and the magnitude of the magnetic potential…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We consider two proposals for defining black hole entropy in spherical symmetry, where the horizon is defined locally as a trapping horizon. The first case, boundary terms in a dual-null form of the reduced action in two dimensions, gives a…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Michael C. Ashworth , Sean A. Hayward

The new, rapidly developing field of theoretical research --- studies of dark energy interacting with black holes (and, in particular, accreting onto black holes) --- is reviewed. The term `dark energy' is meant to cover a wide range of…

General Relativity and Quantum Cosmology · Physics 2014-06-11 E. O. Babichev , V. I. Dokuchaev , Yu. N. Eroshenko

Based on recent ideas, we propose a framework for the description of black holes in terms of constituent graviton degrees of freedom. Within this formalism a large black hole can be understood as a bound state of N longitudinal gravitons.…

High Energy Physics - Theory · Physics 2015-05-20 Lukas Gruending , Stefan Hofmann , Sophia Müller , Tehseen Rug

We argue the existence of solutions of the Euclidean Einstein equations that correspond to a vortex sitting at the horizon of a black hole. We find the asymptotic behaviours, at the horizon and at infinity, of vortex solutions for the gauge…

High Energy Physics - Theory · Physics 2011-04-20 Fay Dowker , Ruth Gregory , Jennie Traschen

Hamiltonian description of gravitational field contained in a spacetime region with boundary $S$ being a null-like hypersurface (a wave front) is discussed. Complete generating formula for the Hamiltonian dynamics (with no surface integrals…

General Relativity and Quantum Cosmology · Physics 2007-05-23 E. Czuchry , J. Jezierski , J. Kijowski

Some approaches to quantization of the horizon area of black holes are discussed. The maximum entropy of a quantized surface is demonstrated to be proportional to the surface area in the classical limit. This result is valid for a rather…

General Relativity and Quantum Cosmology · Physics 2007-05-23 I. B. Khriplovich
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