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If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

Now that an English translation of Schwarzschild's original work exists, that work has become accessible to more people. Here his original solution to the Einstein field equations is examined and it is noted that it does not contain the…

General Physics · Physics 2007-05-23 J. Dunning-Davies

In this paper, we derive the solutions of orbit equations for a class of naked singularity spacetimes, and compare these with timelike orbits, that is, particle trajectories in the Schwarzschild black hole spacetime. The Schwarzschild and…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Parth Bambhaniya , Ashok B. Joshi , Dipanjan Dey , Pankaj S. Joshi

The geometry of three-dimensional space guides the search for a better model than the blackhole with its unwelcome singularity. An elementary construction produces on the 4-manifold of 2-spheres in a Riemannian 3-space a space-time metric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

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

Very compact objects probe extreme gravitational fields and may be the key to understand outstanding puzzles in fundamental physics. These include the nature of dark matter, the fate of spacetime singularities, or the loss of unitarity in…

General Relativity and Quantum Cosmology · Physics 2021-01-20 Vitor Cardoso , Paolo Pani

We investigate the topology of Schwarzschild's black hole through the immersion of this space-time in spaces of higher dimension. Through the immersions of Kasner and Fronsdal we calculate the extension of the Schwarzschild's black hole.

General Relativity and Quantum Cosmology · Physics 2015-06-03 Edmundo M. Monte

A different reason for the apparent weakness of the gravitational interaction is advanced, and its consequences for Hawking evaporation of a Schwarzschild black hole are investigated. A simple analytical formulation predicts that…

High Energy Physics - Theory · Physics 2007-05-23 D. G. Coyne

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

We model pseudo-Finsler geometries, with pseudo-Euclidean signatures of metrics, for two classes of four dimensional nonholonomic manifolds: a) tangent bundles with two dimensional base manifolds and b) pseudo-Riemannian/ Einstein…

General Relativity and Quantum Cosmology · Physics 2013-04-09 Sergiu I. Vacaru

In this essay we argue that once quantum gravitational effects change the classical geometry of a black hole and remove the curvature singularity, the black hole would not evaporate entirely but approach a remnant. In a modified…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Li Xiang , Yi Ling , You Gen Shen

A new spherically-symmetric solution for a gravitational field is found in the conformally-unimodular metric. It is shown, that the surface of the black hole horizon in the standard Schwarzschild metric can be squeezed to a point by…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Sergey L. Cherkas , Vladimir L. Kalashnikov

The spherical symmetry Black holes are considered in expanding background. The singularity line and the marginally trapped tube surface behavior are discussed. In particular, we address the conditions of whether a dynamical horizon forms…

General Relativity and Quantum Cosmology · Physics 2021-12-10 J. T. Firouzjaee

To what extent are all astrophysical, dark, compact objects both black holes (BHs) and described by the Kerr geometry? We embark on the exercise of defying the universality of this remarkable idea, often called the "Kerr hypothesis". After…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Carlos A. R. Herdeiro

Complex scalar fields described by a novel Klein-Gordon equation derived from gauge and group theories are considered at the Schwarzschild's black hole singularities. It is shown that the field is well-behaved in the vicinity of these…

General Physics · Physics 2026-04-03 Z. E. Musielak , J. L. Fry , G. W. Kanan

Recently wide publicity has been given to a claim by T. Vachaspati that "black holes do not exist", that the objects known as black holes in astrophysics should rather be called "black stars" and they not only do not have event horizons but…

Astrophysics · Physics 2009-06-23 K. Petrovay

The apparent shadow of a black hole provides one of the most direct probes of strong-field general relativity. While the shadow size in asymptotically flat spacetimes is well understood, the influence of cosmic expansion on its apparent…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Debarshi Mukherjee

The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

The extreme Reissner-Nordstr\"om black holes have zero surface gravity. However, a semi-classical analysis seems to be ill-definite for these objects and apparently no notion of temperature exists for them. It is argued here that these…

General Relativity and Quantum Cosmology · Physics 2007-05-23 F. G. Alvarenga , A. B. Batista , J. C. Fabris , G. T. Marques

Working in a semi-classical setting, we consider solutions of the Einstein equations that exhibit light trapping in finite time according to distant observers. In spherical symmetry, we construct near-horizon quantities from the assumption…

General Relativity and Quantum Cosmology · Physics 2023-11-14 Pravin K. Dahal , Fil Simovic , Ioannis Soranidis , Daniel R. Terno
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