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We consider the spherically symmetric, asymptotically flat Einstein-Vlasov system. We find explicit conditions on the initial data, with ADM mass M, such that the resulting spacetime has the following properties: there is a family of…

General Relativity and Quantum Cosmology · Physics 2011-01-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

An open problem in general relativity has been to construct an asymptotically flat solution to a reasonable Einstein-matter system containing a black hole in the future and yet past-causally geodesically complete, in particular, containing…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Mihalis Dafermos

To observe the dynamic formation of black holes in general relativity, one essentially needs to prove that closed trapped surfaces form during evolution from initial data that do not already contain trapped surfaces. We discuss the recent…

Analysis of PDEs · Mathematics 2020-03-03 Annegret Y. Burtscher

We review results on the spherically symmetric, asymptotically flat Einstein-Vlasov system. We focus on a recent result where we found explicit conditions on the initial data which guarantee the formation of a black hole in the evolution.…

General Relativity and Quantum Cosmology · Physics 2011-02-24 Hakan Andreasson , Markus Kunze , Gerhard Rein

We study the spherically symmetric collapse of a real, minimally coupled, massive scalar field in an asymptotically Einstein-de Sitter spacetime background. By means of an eikonal approximation for the field and metric functions, we obtain…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Sergio M. C. V. Goncalves

The purpose of the paper is to understand a mechanism of evolutionary formation of trapped surfaces when there is an electromagnetic field coupled to the background space-time. Based on the short pulse ansatz, on a given finite outgoing…

Analysis of PDEs · Mathematics 2011-05-31 Pin Yu

It is shown that there exists a range of parameters in which gravitational collapse with a spherically symmetric massive scalar field can be treated as if it were collapsing dust. This implies a criterion for the formation of black holes…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Sergio M. C. V. Goncalves , Ian G. Moss

This paper introduces a new effort to study the collision of plane-fronted gravitational waves in four dimensional, asymptotically flat spacetime, using numerical solutions of the Einstein equations. The pure vacuum problem requires…

General Relativity and Quantum Cosmology · Physics 2018-11-07 Frans Pretorius , William E. East

I revisit a known solution of the Einstein field equations to show that it describes the formation of non-spherical black holes by the collapse of pure electromagnetic monochromatic radiation. Both positive and negative masses are feasible…

General Relativity and Quantum Cosmology · Physics 2015-06-22 José M. M. Senovilla

We numerically construct an one-parameter family of initial data of an expanding inhomogeneous universe model which is composed of regularly aligned black holes with an identical mass. They are initial data for vacuum solutions of the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Chul-Moon Yoo , Hiroyuki Abe , Yohsuke Takamori , Ken-ichi Nakao

Building on the insight that primordial black holes can arise from the formation and subsequent gravitational collapse of bound states of stable supermassive elementary particles during the early radiation era, we offer a comprehensive…

High Energy Astrophysical Phenomena · Physics 2021-06-30 Krzysztof A. Meissner , Hermann Nicolai

Einstein's equations are known to lead to the formation of black holes and spacetime singularities. This appears to be a manifestation of the mathematical phenomenon of finite-time blowup: a formation of singularities from regular initial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Amos Ori , Dan Gorbonos

Recently, a variational principle has been derived from Einstein-Hilbert and a matter Lagrangian for the spherically symmetric system of a dust shell and a black hole. The so-called physical region of the phase space, which contains all…

General Relativity and Quantum Cosmology · Physics 2015-06-25 P. Hajicek

There is compelling evidence that supermassive black holes exist. Yet the origin of these objects, or their seeds, is still unknown. We discuss several plausible scenarios for forming the seeds of supermassive black holes. These include the…

Astrophysics · Physics 2007-05-23 Stuart L. Shapiro

We study the dynamics of isolated closed domain walls with 3+1 numerical relativity. A closed wall shrinks due to its own surface tension, and its surface energy is converted to the kinetic energy, leading to implosion. Then, it can result…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Naoya Kitajima

We study dynamical gravitational collapse in a theory with an infinite tower of higher-derivative corrections to the Einstein-Hilbert action and we show that, under very general conditions, it leads to the formation of regular black holes.…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We study the formation and perturbation of black holes by null fluxes of neutral matter in a quadratic extension of General Relativity formulated a la Palatini. Working in a spherically symmetric space-time, we obtain an exact analytical…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. Martinez-Asencio , Gonzalo J. Olmo , D. Rubiera-Garcia

It has been recently shown that regular black holes arise as the unique spherically symmetric solutions of broad families of generalizations of Einstein gravity involving infinite towers of higher-curvature corrections in $D\geq 5$…

General Relativity and Quantum Cosmology · Physics 2025-05-16 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia , Aitor Vicente-Cano

We obtain a new self-similar solution to the Einstein's equations in four-dimensions, representing the collapse of a spherically symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters, this…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. Oliveira-Neto , F. I. Takakura

In this paper a simple (i.e. free of fine-tuning, etc.) new mechanism for primordial black hole formation based on the collapse of large antimatter systems in the early Universe is introduced. A peculiarity of this process is that, compared…

High Energy Physics - Theory · Physics 2024-04-15 Gabor Etesi
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