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We numerically construct static localized black holes in five and six spacetime dimensions which are solutions to Einstein's vacuum field equations with one compact periodic dimension. In particular, we investigate the critical regime in…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Michael Kalisch , Sebastian Moeckel , Martin Ammon

Quantum gravitational corrections to black holes are studied in four and higher dimensions using a renormalisation group improvement of the metric. The quantum effects are worked out in detail for asymptotically safe gravity, where the…

High Energy Physics - Theory · Physics 2012-03-05 Kevin Falls , Daniel F. Litim , Aarti Raghuraman

This paper examines regular black holes, in particular the Bardeen spacetime where singularities are replaced by non-singular cores. It explores the energy extraction through the charged Penrose process and shows that magnetic charge…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Vitalii Vertogradov , Angel Rincon

An extension of Penrose's singularity theorem is proved for spacetimes where black holes are allowed to form from non-singular initial data. With standard assumptions about the spacetime, and assuming the existence of a trapped surface…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Alexander Vilenkin , Aron C. Wall

A systematic procedure is proposed for better understanding the evolution laws of black holes in terms of pure quantum states. We start with the two opposed regions I and II in the Penrose diagram, and study the evolution of matter in these…

General Relativity and Quantum Cosmology · Physics 2022-09-09 Gerard t Hooft

We study the method for generating the initial data of black hole systems in Gauss-Bonnet (GB) gravity. The initial data are assumed to be momentarily static and conformally flat. Although the equation for the conformal factor is highly…

General Relativity and Quantum Cosmology · Physics 2011-05-10 Hirotaka Yoshino

In this work we investigate the consequences of running gravitational coupling on the properties of rotating black holes. Apart from the changes induced in the space-time structure of such black holes, we also study the implications to…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Sumarna Haroon , Mubasher Jamil , Kai Lin , Petar Pavlovic , Marko Sossich , Anzhong Wang

Riemannian Penrose Inequalities are precise geometric statements that imply that the total mass of a zero second fundamental form slice of a spacetime is at least the mass contributed by the black holes, assuming that the spacetime has…

Differential Geometry · Mathematics 2024-03-21 Hubert Bray , Yiyue Zhang

Formulation of the Penrose inequality becomes ambiguous when the past and future apparent horizons do cross. We test numerically several natural possibilities of stating the inequality in punctured and boosted single- and double- black…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec

In this paper, we propose a stochastic version of the Hawking-Penrose black hole model. We describe the dynamics of the stochastic model as a continuous-time Markov jump process of quanta out and in the black hole. The average of the random…

Probability · Mathematics 2020-11-02 E. Pechersky , S. Pirogov , A. Yambartsev

We study the formation and perturbation of black holes by null fluxes of neutral matter in a quadratic extension of General Relativity formulated a la Palatini. Working in a spherically symmetric space-time, we obtain an exact analytical…

General Relativity and Quantum Cosmology · Physics 2015-06-11 J. Martinez-Asencio , Gonzalo J. Olmo , D. Rubiera-Garcia

The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities…

General Relativity and Quantum Cosmology · Physics 2025-03-13 Alex Kehagias , Davide Perrone , Antonio Riotto

Penrose's original heuristic for his eponymous spacetime inequality -- a conjectured lower bound on the ADM mass in terms of the area of a horizon cross-section -- relies on the black hole final state conjecture. In this paper we isolate a…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Ahmed Ellithy

We establish that the Einstein tensor takes on a highly symmetric form near the Killing horizon of any stationary but non-static (and non-extremal) black hole spacetime. [This follows up on a recent article by the current authors,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A J M Medved , Damien Martin , Matt Visser

In the case involving particles the necessary and sufficient condition for the Penrose process to extract energy from a rotating black hole is absorption of particles with negative energies and angular momenta. No torque at the black-hole…

General Relativity and Quantum Cosmology · Physics 2014-02-04 J. -P. Lasota , E. Gourgoulhon , M. Abramowicz , A. Tchekhovskoy , R. Narayan

Applying an expansion in spherical harmonics, turns the black hole with its microstates into something about as transparent as the hydrogen atom was in the early days of quantum mechanics. It enables us to present a concise description of…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Gerard t Hooft

How do regular black holes evade the Penrose singularity theorem? Various models of stationary regular black holes globally satisfy the null convergence condition (NCC). At first glance this might seem puzzling, as the NCC must generically…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Johanna Borissova , Stefano Liberati , Matt Visser

We briefly discuss a method to construct a global, analytic, approximate spacetime for precessing, spinning binary black holes. The spacetime construction is broken into three parts: the inner zones are the spacetimes close to each black…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Hiroyuki Nakano , Brennan Ireland , Manuela Campanelli , Eric J. West

Using the standard Cayley transform and elementary tools it is reiterated that the conformal compactification of the Minkowski space involves not only the "cone at infinity" but also the 2-sphere that is at the base of this cone. We…

General Physics · Physics 2014-07-22 Arkadiusz Jadczyk

This paper explores the circular geodesics of neutral test particles on an equatorial plane around a rotating black hole. After using equations of motion of scalar-tensor-vector gravity with the circular geodesics of null-like particles, we…

General Relativity and Quantum Cosmology · Physics 2021-01-08 M. Shahzadi , Z. Yousaf , Saeed Ullah Khan
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