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We reconsider space-time singularities in classical Einsteinian general relativity: with the help of several new co-ordinate systems we show that the Schwarzschild solution can be extended beyond the curvature singularity at r=0. The…

General Relativity and Quantum Cosmology · Physics 2010-04-06 K. Peeters , C. Schweigert , J. W. van Holten

In this article, we study regular scale-dependent black holes as gravitational lenses. We obtain the deflection angle in the strong deflection limit, from which we calculate the positions and the magnifications of the relativistic images.…

General Relativity and Quantum Cosmology · Physics 2019-07-11 Carlos M. Sendra

We study the circular motion of massive and massless particles in a recently proposed quantum-corrected Schwarzschild black hole in loop quantum gravity. This solution is supposed to introduce small but non-zero quantum corrections in the…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Reza Saadati , Fatimah Shojai

The Black Hole Uncertainty Principle correspondence suggests that there could exist black holes with mass beneath the Planck scale but radius of order the Compton scale rather than Schwarzschild scale. We present a modified, self-dual…

General Relativity and Quantum Cosmology · Physics 2015-07-20 Bernard J. Carr , Jonas Mureika , Piero Nicolini

So-called "regular black holes" are a topic currently of considerable interest in the general relativity and astrophysics communities. Herein we investigate a particularly interesting regular black hole spacetime described by the line…

General Relativity and Quantum Cosmology · Physics 2019-03-01 Alex Simpson , Matt Visser

A class of exact solutions are presented for the interior of black holes of solar mass and beyond. In a core enclosed by the inner horizon, the binding energy released by dissolution of the pre-collapse nuclei is stored in electrostatic and…

General Relativity and Quantum Cosmology · Physics 2023-03-01 Theodorus Maria Nieuwenhuizen

The collapse of astrophysically significant bodies generates, under suitable conditions, black holes. Since one expects the generator of the black hole to be a rotating body, the black hole will also rotate. The existence of inner…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Ramón Torres

In the classical theory of general relativity black holes can only absorb and not emit particles. When quantum mechanical effects are taken into account, then the black holes emit particles as hot bodies with temperature proportional to…

General Relativity and Quantum Cosmology · Physics 2019-11-04 N. S. M. de Santi , R. Santarelli

We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. Bozza , S. Capozziello , G. Iovane , G. Scarpetta

This paper treats boundary conditions on black hole horizons for the full 3+1D Einstein equations. Following a number of authors, the apparent horizon is employed as the inner boundary on a space slice. It is emphasized that a further…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Douglas M. Eardley

Motivated by recent achievements of a full general relativistic method in estimating the mass-to-distance ratio of supermassive black holes hosted at the core of active galactic nuclei, we introduce the new concept redshift rapidity in…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Mehrab Momennia , Pritam Banerjee , Alfredo Herrera-Aguilar , Ulises Nucamendi

Due to its large number of symmetries the Schwarzschild Black Hole can be described by a specific two-dimensional dilaton gravity model. After reviewing classical, semi-classical and quantum properties and a brief discussion of virtual…

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

This paper provides a brief review of the history of our understanding and knowledge of black holes. Starting with early speculations on ``dark stars'' I discuss the Schwarzschild "black hole" solution to Einstein's field equations and the…

Astrophysics · Physics 2009-11-11 Thomas W. Baumgarte

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

In spherical symmetry, solutions of the semiclassical Einstein equations belong to one of two possible classes. Both classes contain solutions that -- depending on the dynamic behavior of the horizon -- describe evaporating physical black…

General Relativity and Quantum Cosmology · Physics 2022-03-10 Pravin K. Dahal , Sebastian Murk , Daniel R. Terno

In a previous work we studied the interior of the Schwarzschild black hole implementing an effective minimal length, by applying a modification to the Poisson brackets of the theory. In this work we perform a proper quantization of such a…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Pasquale Bosso , Octavio Obregón , Saeed Rastgoo , Wilfredo Yupanqui

We study the formation and the evaporation of a spherically symmetric black hole in conformal gravity. From the collapse of a spherically symmetric thin shell of radiation, we find a singularity-free non-rotating black hole. This black hole…

General Relativity and Quantum Cosmology · Physics 2018-09-03 Cosimo Bambi , Leonardo Modesto , Shiladitya Porey , Leslaw Rachwal

New, simple models of ``black hole interiors'', namely spherically symmetric solutions of the Einstein field equations in matter matching the Schwarzschild vacuum at spacelike hypersurfaces ``R<2M'' are constructed. The models satisfy the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Giulio Magli

We briefly review the recent novel solution of General Relativity, we call the cosmological black hole, firstly discovered in [Roupas, Z. Eur. Phys. J. C 82, 255 (2022)]. A dark energy universe and a Schwartzschild black hole are matched on…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Zacharias Roupas

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius