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This paper is concerned with several not-quantum aspects of black holes, with emphasis on theoretical and mathematical issues related to numerical modeling of black hole space-times. Part of the material has a review character, but some new…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Piotr T. Chrusciel

It is a common belief that a theory of quantum gravity should ultimately cure curvature singularities which are inevitable within General Relativity, and plague for instance the Schwarzschild and Kerr metrics, usually considered as…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Marco Calzà , Davide Pedrotti , Sunny Vagnozzi

We present a new effective description of macroscopic Kruskal black holes that incorporates corrections due to quantum geometry effects of loop quantum gravity. It encompasses both the `interior' region that contains classical singularities…

General Relativity and Quantum Cosmology · Physics 2018-12-19 Abhay Ashtekar , Javier Olmedo , Parampreet Singh

Modifying the Kerr-Schild transformation used to generate black and white hole spacetimes, new dynamic black and white holes are obtained using a time-dependent Kerr-Schild scalar field. Physical solutions are found for black holes that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. L. McClure , Kaem Anderson , Kirk Bardahl

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

We study the gravitational perturbations of black holes in quadratic gravity, in which the Einstein-Hilbert term is supplemented by quadratic terms in the curvature tensor. In this class of theories, the Schwarzschild solution can coexist…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

We discuss the opportunity that the singularity inside a Schwarzschild black hole could be replaced by a regular bounce, described as a regular minimum of the spherical radius (instead of zero) and a regular maximum of the longitudinal…

General Relativity and Quantum Cosmology · Physics 2020-10-20 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

The Schwarzschild spacetime metric of negative mass is well-known to contain a naked singularity. In a spacelike slice, this singularity of the metric is characterized by the property that nearby surfaces have arbitrarily small area. We…

Differential Geometry · Mathematics 2013-09-11 Hubert L. Bray , Jeffrey L. Jauregui

This work explores the intersection of quantum mechanics and curved spacetime by employing the Wigner formalism to investigate quantum systems in the vicinity of black holes. Specifically, we study the quantum dynamics of a probe particle…

General Relativity and Quantum Cosmology · Physics 2026-05-21 David Garcia-Garcia , Jose A. R. Cembranos

We analyse the impact of positivity conditions on static spherically symmetric deformations of the Schwarzschild space-time. The metric is taken to satisfy, at least asymptotically, the Einstein equation in the presence of a non-trivial…

General Relativity and Quantum Cosmology · Physics 2023-05-23 A. D'Alise , G. Fabiano , D. Frattulillo , S. Hohenegger , D. Iacobacci , F. Pezzella , F. Sannino

We define the Carrollian black holes corresponding to the limit of Schwarzschild-(A)dS spacetime and its higher-derivative counterpart known as Schwarzschild-Bach-(A)dS spacetime, which is also a static spherically symmetric vacuum solution…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Poula Tadros , Ivan Kolář

Black holes are among the most fascinating objects populating our universe. Their characteristic features, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide a rich testing ground for quantum…

High Energy Physics - Theory · Physics 2016-02-23 Frank Saueressig , Natalia Alkofer , Giulio D'Odorico , Francesca Vidotto

The transition between (non supersymmetric) quantum string states and Schwarzschild black holes is discussed. This transition occurs when the string coupling $g^2$ (which determines Newton's constant) increases beyond a certain critical…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Thibault Damour

Geodesic completeness needs existence near the horizon of the black hole of "white hole" geodesics coming from the region inside of the horizon. Here we give the classification of all such geodesics with the energies $E/m \le 1$ for the…

General Relativity and Quantum Cosmology · Physics 2015-03-10 A. A. Grib , Yu. V. Pavlov

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

In homogeneous cosmologies, quantum geometry effects lead to a resolution of the classical singularity without having to invoke special boundary conditions at the singularity or introduce ad-hoc elements such as unphysical matter. The same…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Abhay Ashtekar , Martin Bojowald

One-loop renormalised quantum effective action for gravity contains quadratic in curvature terms. We have found an approximate analytic black hole solution in quadratic gravity by keeping only the radial spherically symmetric fluctuations…

General Relativity and Quantum Cosmology · Physics 2021-06-23 Yunho Kim , Archil Kobakhidze

Astrophysical black hole candidates, although long thought to have a horizon, could be horizonless ultra-compact objects. This intriguing possibility is motivated by the black hole information paradox and a plausible fundamental connection…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Bob Holdom , Jing Ren

Schwarzschild black holes with quantum corrections are studied under scalar field perturbations and electromagnetic field perturbations to analyze the effect of the correction term on the potential function and quasinormal mode (QNM). In…

General Relativity and Quantum Cosmology · Physics 2022-08-16 Yujia Xing , Yi Yang , Dong Liu , Zheng-Wen Long , Zhaoyi Xu

Motivated by the question whether quantum gravity can "smear out" the classical singularity we analyze a certain quantum space and its quantum-mechanical completeness. Classical singularity is understood as a geodesic incompleteness, while…

High Energy Physics - Theory · Physics 2018-09-10 Tajron Jurić