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We analyse a rotating regular black hole with asymptotically Minkowski core. This Kerr-like geometry possesses the full "Killing tower" of nontrivial Killing tensor, Killing-Yano tensor, and principal tensor. The Hamilton-Jacobi equation,…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Alex Simpson , Matt Visser

In this paper we investigate gravitational perturbations of a regular black hole, particularly Bardeen solution. Such system is solution of Einstein equations that do not have a singularity at the origin of the radial symmetry. However it…

General Relativity and Quantum Cosmology · Physics 2014-07-17 S. C. Ulhoa

The quasilocal energy associated with a constant stationary time slice of the Kerr spacetime is presented. The calculations are based on a recent proposal \cite{by} in which quasilocal energy is derived from the Hamiltonian of spatially…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Erik A. Martinez

The collapse of astrophysically significant bodies generates, under suitable conditions, black holes. Since one expects the generator of the black hole to be a rotating body, the black hole will also rotate. The existence of inner…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Ramón Torres

We construct a sort of regular black holes with a sub-Planckian Kretschmann scalar curvature. The metric of this sort of regular black holes is characterized by an exponentially suppressing gravity potential as well as an asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Yi Ling , Meng-He Wu

Despite the experimental success of general relativity in the scales it has been tested, there are still some inconsistencies, such as explaining the acceleration of the universe and singularities. $f(R)$ gravity has emerged to provide…

General Relativity and Quantum Cosmology · Physics 2023-12-12 A. C. L. Santos , R. V. Maluf , C. R. Muniz

It is believed that the basic component of the central engine of quasars, micro-quasars, and energetic Gamma Ray Bursts are the rotating or the Kerr Black Holes (BH)[1]. But by using a generic property[2-4] of the metric components of a…

Astrophysics · Physics 2007-05-23 Abhas Mitra

Bardeen regular black hole is commonly considered as a solution of general relativity coupled to a nonlinear electrodynamics. In this paper, it is shown that the Bardeen solution may be interpreted as a quantum-corrected Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2018-12-06 R. V. Maluf , Juliano C. S. Neves

We investigate the possibility of arbitrarily high energy in the center of mass(CM) frame of colliding particles in the vicinity of the infinite red-shift surface of the spherically symmetric, static charged regular black holes (Bardeen…

General Relativity and Quantum Cosmology · Physics 2014-10-14 Parthapratim Pradhan

The thermodynamic inconsistency observed in regular black holes is resolved through the framework of reduced thermodynamic phase spaces. We demonstrate that regular black holes are essentially induced from singular black holes by adding an…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Meng-Sen Ma , Huai-Fan Li , Jian-Hua Shi

An original way of presentation of the Schwarzschild black hole in the form of a point-like mass with making the use of the Dirac $\delta$-function, including a description of a continuous collapse to such a point mass, is given. A…

General Relativity and Quantum Cosmology · Physics 2017-12-29 A. N. Petrov

We set to weigh the black holes at their event horizons in various spacetimes and obtain masses which are substantially higher than their asymptotic values. In each case, the horizon mass of a Schwarzschild, Reissner-Nordstr{\"o}m, or Kerr…

General Relativity and Quantum Cosmology · Physics 2018-08-09 Yuan K. Ha

We construct rotating black holes in Carroll gravity using two distinct approaches. In one of them, we exploit the freedom in the Carroll compatible connection to encode rotation. In particular, we construct rotating solutions in magnetic…

High Energy Physics - Theory · Physics 2026-05-20 Florian Ecker , Daniel Grumiller , Lucas Hörl , Mattéo Leturcq--Daligaux , Alfredo Pérez

We present a rotating regular black hole whose inner horizon has zero surface gravity for any value of the spin parameter, and is therefore stable against mass inflation. Our metric is built by combining two successful strategies for…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Vania Vellucci

Regular black holes without curvature singularity can arise in Einstein gravity with appropriate matter energy-momentum tensor. We show that these regular solutions represent only a special case of a much broader family of black holes with…

General Relativity and Quantum Cosmology · Physics 2025-03-18 Hyat Huang , Xiao-Pin Rao

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhen Li

The new, rapidly developing field of theoretical research --- studies of dark energy interacting with black holes (and, in particular, accreting onto black holes) --- is reviewed. The term `dark energy' is meant to cover a wide range of…

General Relativity and Quantum Cosmology · Physics 2014-06-11 E. O. Babichev , V. I. Dokuchaev , Yu. N. Eroshenko

A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the…

High Energy Physics - Theory · Physics 2010-05-19 Yu Tian , Xiaoning Wu

While the quasi-local thermodynamics of spherically symmetric black holes is well described by pressure and volume, extending this framework to rotating spacetimes poses a significant challenge. Rotation induces an oblate deformation of the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Thiago Campos

The black hole singularity problem was proposed by Hawking and Penrose, and regular black holes serve as an important class of models to address this issue. However, the study of regular black hole thermodynamics has long faced a…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz