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As an example of a black hole in a non-flat background a composite static spacetime is constructed. It comprises a vacuum Schwarzschild spacetime for the interior of the black hole across whose horizon it is matched on to the spacetime of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Rajesh Nayak , M. A. H. MacCallum , C. V. Vishveshwara

We investigate the properties of the Schwarzschild black hole geometry involving leading one-loop long-distance quantum effects, which arise within the framework of effective field theories of gravity. Our analysis reveals that geodesic…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Zi-Liang Wang , Emmanuele Battista

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro-)vacuum exact solutions of Einstein's equations, we first…

General Relativity and Quantum Cosmology · Physics 2016-08-23 M. Basovník , O. Semerák

A class of nonstationary spacetimes is obtained by means of a conformal transformation of the Schwarzschild metric, where the conformal factor $a(t)$ is an arbitrary function of the time coordinate only. We investigate several situations…

General Relativity and Quantum Cosmology · Physics 2017-05-05 Marina M. C. Mello , Alan Maciel , Vilson T. Zanchin

A variety of historical coordinates in which the Schwarzschild metric is regular over the whole of the extended spacetime are compared and the hypersurfaces of constant coordinate are graphically presented. While the Kruscal form (one of…

General Relativity and Quantum Cosmology · Physics 2014-01-16 W G Unruh

We use the Kruskal time coordinate T to define the initial time. By this way, it naturally divides the stable study into one connected with the two regions: the white-hole-connected region and the black-hole-connected region. The union of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Guihua Tian

In this paper we study geodesic motion around a distorted Schwarzschild black hole. We consider both timelike and null geodesics which are confined to the black hole's equatorial plane. Such geodesics generically exist if the distortion…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Andrey A. Shoom , Cole Walsh , Ivan Booth

The 1965 Penrose singularity theorem demonstrates the utterly inevitable and unavoidable formation of spacetime singularities under physically reasonable assumptions, and it remains one of the main results in our understanding of black…

General Relativity and Quantum Cosmology · Physics 2020-04-29 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

We consider the radial geodesic motion of a massive particle into a black hole in isotropic coordinates, which represents the exterior region of an Einstein-Rosen bridge (wormhole). The particle enters the interior region, which is regular…

General Relativity and Quantum Cosmology · Physics 2011-06-30 Nikodem J. Poplawski

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

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

Black holes are one of the most fascinating predictions of general relativity. They are the natural product of the complete gravitational collapse of matter and today we have a body of observational evidence supporting the existence of…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Cosimo Bambi

In singularity generating spacetimes both the out-going and in-going expansions of null geodesic congruences $\theta ^{+}$ and $\theta ^{-}$ should become increasingly negative without bound, inside the horizon. This behavior leads to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Manasse R. Mbonye , Demosthenes Kazanas

Black hole solutions are explored in the Lorentz gauge theory of gravity. The fields of the theory are the gauge potential in the adjoint and a scalar in the fundamental representation of the Lorentz group, a metric tensor then emerging as…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Tomi S. Koivisto , Luxi Zheng

We show that Weyl-invariant dilaton gravity provides a description of black holes without classical spacetime singularities. Singularities appear due to ill-behaviour of gauge fixing conditions, one example being the gauge in which theory…

High Energy Physics - Theory · Physics 2016-11-15 Predrag Dominis Prester

The black hole of the widely used ordinary 2d--dilaton model (DBH) deviates from the Schwarzschild black hole (SBH) of General Relativity in one important feature: Whereas non-null extremals or geodesics show the expected incompleteness…

General Relativity and Quantum Cosmology · Physics 2009-10-28 M. O. Katanaev , W. Kummer , H. Liebl

First sketch of black hole from M87 galaxy was obtained by Event Horizon Telescope, recently. As appearance of black hole shadow reflects space-time geometry of black holes, observations of black hole shadow may be a promising way to test…

General Relativity and Quantum Cosmology · Physics 2020-06-30 Zhe Chang , Qing-Hua Zhu

In this work, we propose a dangerous journey -- a journey through the strong singularity from one universe to another or from inside of a black hole to its 'inverse' as a white hole. Such singularities are hidden in the Friedman and…

General Relativity and Quantum Cosmology · Physics 2025-12-16 Michael Heller , Tomasz Miller , Wiesław Sasin

In this work we have studied the singular behaviour of gravitational theories with non symmetric connections. For this purpose we introduce a new criteria for the appearance of singularities based on the existence of black/white hole…

General Relativity and Quantum Cosmology · Physics 2017-04-12 J. A. R. Cembranos , J. Gigante Valcarcel , F. J. Maldonado Torralba

We propose an alternative description of the Schwarzschild black hole based on the requirement that the solution be static not only outside the horizon but also inside it. As a consequence of this assumption, we are led to a change of…

General Relativity and Quantum Cosmology · Physics 2018-09-13 L. Herrera , L. Witten