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From the invariance properties of the Schrodinger equation and the isotropy of space we show that a generic (non-relativistic) quantum system is endowed with an ``external'' motion, which can be interpreted as the motion of the centre of…

Quantum Physics · Physics 2007-05-23 S. Esposito

The notion of the black hole singularity and the proof of the singularity theorem were considered great successes in classical general relativity. Singularities had presented deep puzzles to physicists. Conceptual challenges were set up by…

General Relativity and Quantum Cosmology · Physics 2017-03-13 Yanbin Deng , Gerald Cleaver

We examine whether the Schwarzschild black hole can emerge as the continuous end state of gravitational collapse from a non-singular configuration. Employing a time dependent extension of the regular Schwarzschild metric, we track the…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Jorge Ovalle , Roberto Casadio , Alexander Kamenshchik

We derive a class of regular black holes from the proper-time renormalization group approach to asymptotically safe gravity. A central challenge is the robustness of physical predictions to the regularization scheme. We address this by…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Alfio Bonanno , Roman A. Konoplya , Giovanni Oglialoro , Andrea Spina

The definitions of classical and quantum singularities in general relativity are reviewed. The occurence of quantum mechanical singularities in certain spherically symmetric and cylindrically symmetric (including infinite line…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. A. Konkowski , T. M. Helliwell , C. Wieland

We present a specific two-dimensional dilaton gravity model in which a black hole evaporates leaving a wormhole at the end state. As the black hole formed by infalling matter in a initially static spacetime evaporates by emitting Hawking…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. -W. Kim , H. Lee

We consider the corrections due to quantum fluctuations of fields on charged black holes induced from the energy-momentum trace anomaly. Although the number of horizons stays unchanged and their positions receive only finite corrections,…

High Energy Physics - Theory · Physics 2017-12-18 Jahed Abedi , Hessamaddin Arfaei , Alek Bedroya , Aida Mehin-Rasuliani , Milad Noorikuhani , Kamran Salehi-Vaziri

Different approaches to quantum gravity conclude that black holes may possess an inner horizon, in addition to the (quantum corrected) outer `Schwarzschild' horizon. In this paper we assume the existence of this inner horizon and explain…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Ramon Torres

We study 5-dimensional black holes in Einstein-Maxwell-Chern-Simons theory with free Chern-Simons coupling parameter. We consider an event horizon with spherical topology, and both angular momenta of equal magnitude. In particular, we study…

General Relativity and Quantum Cosmology · Physics 2017-09-11 Jose Luis Blazquez-Salcedo

Exact solutions describing a fall of a particle to the center of a non-regularized singular potential in classical and quantum cases are obtained and compared. We inspect the quantum problem with the help of the conventional…

Quantum Physics · Physics 2023-12-15 Michael I. Tribelsky

We study quantum mechanical wavefunctions near highly curved spaces, i.e., black holes. By utilizing the formalism developed by DeWitt, we derive the Schr\"odinger equations in the vicinity of the Schwarzschild and the Reissner-Nordstr\"om…

General Relativity and Quantum Cosmology · Physics 2026-01-28 Hinako Iseki , Shin Sasaki , Kenta Shiozawa

The common interpretation of the Hawking radiation as quantum tunneling has some ambiguity such as coordinate-dependence of tunneling rate and non-invariance of the action under canonical transformations. It is shown that the tunneling…

High Energy Physics - Theory · Physics 2011-08-31 Sang Pyo Kim

A model for the motion of a charged particle in the vacuum is presented which, although purely classical in concept, yields Schrodinger's equation as a solution. It suggests that the origins of the peculiar and nonclassical features of…

Quantum Physics · Physics 2007-05-23 Mark P. Davidson

While extreme black hole spacetimes with smooth horizons are known at the level of mathematics, we argue that the horizons of physical extreme black holes are effectively singular. Test particles encounter a singularity the moment they…

General Relativity and Quantum Cosmology · Physics 2015-03-17 Donald Marolf

Gravitational decoupling allows to obtain new solutions of general relativity. In this paper, we obtain new solutions of the Einstein field equations which describe non-singular black holes. We consider Hayward and Bardeen regular black…

General Relativity and Quantum Cosmology · Physics 2024-05-14 Maxim Misyura , Angel Rincon , Vitalii Vertogradov

One-dimensional scattering by a Coulomb potential V(x)=lambda/|x| is studied for both repulsive (c>0) and attractive (c<0) cases. Two methods of regularizing the singularity at x=0 are used, yielding the same conclusion, namely, that the…

Quantum Physics · Physics 2009-06-23 G. Abramovici , Y. Avishai

We identify a quantity in the $c=1$ matrix model which describes the wavefunction for physical scattering of a tachyon from a black hole of the two dimensional critical string theory. At the semiclassical level this quantity corresponds to…

High Energy Physics - Theory · Physics 2014-11-18 Sumit R. Das

The domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles. We discuss how this may lead to a gross violation of black hole uniqueness, beyond the existence of black…

High Energy Physics - Theory · Physics 2017-04-14 Hari K. Kunduri , James Lucietti

Quantum gravitational effects in black hole spacetimes with a cosmological constant $\Lambda$ are considered. The effective quantum spacetimes for the black holes are constructed by taking into account the renormalization group improvement…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Ramon Torres

Black hole radiation from an infinitesimally thin massive collapsing shell, possessing a global monopole charge, which in turn leads to a Schwarzschild black hole with a global monopole charge has been shown to be processed by a unitary…

General Relativity and Quantum Cosmology · Physics 2019-08-27 Arpit Das , Narayan Banerjee