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Related papers: MOTS in Schwarzschild: multiple self-intersections…

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A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can be evolved into a foliation of the $r>3m/2$-region of the spacetime by maximal surfaces with the requirement that time runs equally fast at both spatial ends of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Beig , N. Ó Murchadha

In previous work we have shown the existence of a dynamical horizon or marginally trapped tube (MOTT) containing a given strictly stable marginally outer trapped surface (MOTS). In this paper we show some results on the global behavior of…

General Relativity and Quantum Cosmology · Physics 2009-04-17 Lars Andersson , Marc Mars , Jan Metzger , Walter Simon

We investigate a recent proposal for defining a conserved mass in asymptotically de Sitter spacetimes that is based on a conjectured holographic duality between such spacetimes and Euclidean conformal field theory. We show that an algorithm…

High Energy Physics - Theory · Physics 2007-05-23 A. M. Ghezelbash , R. B. Mann

The Schwarzschild metric has a divergent energy density at the horizon, which motivates a new approach to black holes. If matter is spread uniformly throughout the interior of a supermassive black hole, with mass $M\sim M_\star= 2.34…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Theo M. Nieuwenhuizen

The self-interaction for a static point charge in the space-time of a thin-shell wormhole constructed connecting two identical Schwarzschild geometries is calculated in a series expansion. The electrostatic self-force is evaluated…

General Relativity and Quantum Cosmology · Physics 2015-06-17 E. Rubín de Celis , O. P. Santillán , C. Simeone

It is shown that a generic black hole solution of the SU(2) Einstein-Yang-Mills equations develops a new type of an infinitely oscillating behavior near the singularity. Only for certain discrete values of the event horizon radius…

General Relativity and Quantum Cosmology · Physics 2014-11-17 E. E. Donets , D. V. Gal'tsov , M. Yu. Zotov

We give some examples in which neglecting the interactions between particles or truncating the description of a black hole to the spherically symmetric mode leads to unphysical results. The restoration of the interactions and higher angular…

High Energy Physics - Theory · Physics 2009-09-25 L. Susskind , J. Uglum

It is well known that locally defined marginally outer trapped surface (MOTS) is null and coincident with the event horizon of an unperturbed static Schwarzschild black hole. This is however not true for an accreting black hole for which…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Naresh Dadhich , Rituparno Goswami

To better understand the allowed range of black hole geometries, we study Weyl-distorted Schwarzschild solutions. They always contain trapped surfaces, a singularity and an isolated horizon and so should be understood to be (geometric)…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Terry Pilkington , Alexandre Melanson , Joseph Fitzgerald , Ivan Booth

We examine the intrinsic scatter in the correlation between black hole masses and their host bulge masses, and find that it cannot be accounted for by mergers alone. A simple merger scenario of small galaxies leads to a proportionality…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-09 Carmit Gordon Lahav , Yohai Meiron , Noam Soker

We present black hole mass measurements from kinematic modeling of high-spatial resolution integral field spectroscopy of the inner regions of 9 nearby (ultra-)luminous infrared galaxies in a variety of merger stages. These observations…

Small deformations of marginally outer trapped surfaces (MOTS) are studied by using the stability operator introduced by Andersson-Mars-Simon. Novel formulae for the principal eigenvalue are presented. A characterization of the many…

General Relativity and Quantum Cosmology · Physics 2012-11-27 José M. M. Senovilla

This work presents a comprehensive and extensive study to illustrate how the geometrical configurations of low angular momentum axially symmetric general relativistic matter flow in Schwarzschild metric may influence the formation of energy…

General Relativity and Quantum Cosmology · Physics 2021-02-08 Pratik Tarafdar , Tapas Kumar Das

We study the quasi-periodic oscillations from the accretion disk around the distorted Schwarzschild black hole in the framework of the resonant models. We confine ourselves to the case of a quadrupole distortion which can be caused for…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Efthimia Deligianni , Jutta Kunz , Petya Nedkova

By combining the numerical solution of the nonlinear hydrodynamics equations with the solution of the linear inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations we investigate the properties of the gravitational radiation emitted…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Alessandro Nagar , Olindo Zanotti , Jose A. Font , Luciano Rezzolla

Marginally Outer Trapped Surfaces (MOTS) in spacetimes are well-known to indicate the existence of black holes. Using flow techniques, we prove that a neighbourhood of a stable MOTS in a null cone may be foliated by hypersurfaces of…

Differential Geometry · Mathematics 2026-03-25 Ben Lambert , Julian Scheuer

In this paper we generalize the main result of [13] in two different situations: in the first case for MOTSs of genus greater than one and, in the second case, for MOTSs of high dimension with negative $\sigma$-constant. In both cases we…

Differential Geometry · Mathematics 2016-09-07 Abraão Mendes

We revisit the geometry representing l collinear Schwarzschild black holes. It is seen that the black holes' horizons are deformed by their mutual gravitational attraction. The geometry has a string like conical singularity that connects…

High Energy Physics - Theory · Physics 2009-10-31 Miguel S. Costa , Malcolm J. Perry

The Schwarzschild solution has played a fundamental conceptual role in general relativity, and beyond, for instance, regarding event horizons, spacetime singularities and aspects of quantum field theory in curved spacetimes. However, one…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Rosa Doran , Francisco S. N. Lobo , Paulo Crawford

We revisit the dynamics of a black hole accreting energy from a surrounding homogeneous and infinite space. We argue for a simple heuristic modification of the Schwarzschild approximation when the density of the medium is not negligible…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Aurélien Barrau , Killian Martineau , Hanane Zelgoum