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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

Superradiant scattering of linear spin $s=0,\pm 1,\pm 2$ fields on Kerr black hole background is investigated in the time domain by integrating numerically the homogeneous Teukolsky master equation. The applied numerical setup has already…

General Relativity and Quantum Cosmology · Physics 2021-04-26 Károly Zoltán Csukás , István Rácz

We review, as well as provide some new results regarding the study of the structure of spacetime and the singularity in the interior of the Schwarzschild black hole in both loop quantum gravity and generalized uncertainty principle…

General Relativity and Quantum Cosmology · Physics 2022-06-28 Saeed Rastgoo , Saurya Das

Starting from the Einstein equations in Schwarzschild-de Sitter (SdS) spacetime and imposing Friedmann-Robertson-Walker coordinates at large distances, we find two coordinate systems with time-dependent metrics that are smooth across both…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Leonardo de Lima , Davi C. Rodrigues

We analyse the physics of nonlinear gravitational processes inside a spherical charged black hole perturbed by a self-gravitating massless scalar field. For this purpose we created an appropriate numerical code. Throughout the paper, in…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jakob Hansen , Alexei Khokhlov , Igor Novikov

In a recent article PRD 111, 064001 (2025) a new geometric a approach for studying massive particle surfaces was proposed. Using the Gaussian and geodesic curvatures of a two dimensional Riemannian metric a criteria for the existence of…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Boris Bermúdez-Cárdenas , Oscar Lasso Andino

We examine embedding diagrams of hypersurfaces in the Reissner-Nordstrom black hole spacetime. These embedding diagrams serve as useful tools to visualize the geometry of the hypersurfaces and of the whole spacetime in general.

General Relativity and Quantum Cosmology · Physics 2009-11-11 Uri Jacob , Tsvi Piran

We present an exhaustive analysis of scalar, electromagnetic and gravitational perturbations in the background of a Schwarzchild-de Sitter spacetime. The field propagation is considered by means of a semi-analytical (WKB) approach and two…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Molina , E. Abdalla , A. Saa

Following previous work of ours in spherical symmetry, we here propose a new parametric framework to describe the spacetime of axisymmetric black holes in generic metric theories of gravity. In this case, the metric components are functions…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Roman Konoplya , Luciano Rezzolla , Alexander Zhidenko

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

We study the time-like geodesic congruences, in the space-time geometry of a Schwarzschild black hole surrounded by quintessence. The nature of effective potential along with the structure of the possible orbits for test particles in view…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Rashmi Uniyal , N. Chandrachani Devi , Hemwati Nandan , K. D. Purohit

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

Starting from a recently constructed stealth Kerr solution of higher order scalar tensor theory involving scalar hair, we analytically construct disformal versions of the Kerr spacetime with a constant degree of disformality and a regular…

General Relativity and Quantum Cosmology · Physics 2021-01-07 Timothy Anson , Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

We construct the spacetime in the vicinity of a general isolated, rotating, charged black hole. The black hole is modeled as a weakly isolated horizon, and we use the characteristic initial value formulation of the Einstein equations with…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Badri Krishnan

We formulate conditions on the geometry of a non-expanding horizon $\Delta$ which are sufficient for the space-time metric to coincide on $\Delta$ with the Kerr metric. We introduce an invariant which can be used as a measure of how…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jerzy Lewandowski , Tomasz Pawlowski

The set of all metrics that can be placed on a given manifold defines an infinite-dimensional `superspace' that can itself be imbued with the structure of a Riemannian manifold. Geodesic distances between points on Met$(M)$ measure how…

General Relativity and Quantum Cosmology · Physics 2020-10-13 Arthur G Suvorov

We consider Kerr spacetimes with parameters a and M such that |a|<< M, Kerr-Newman spacetimes with parameters |Q|<< M, |a|<< M, and more generally, stationary axisymmetric black hole exterior spacetimes which are sufficiently close to a…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Mihalis Dafermos , Igor Rodnianski

We briefly summarise the basic properties of spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields. We concentrate on extremal cases, for which the horizon surface gravity vanishes. We investigate…

General Relativity and Quantum Cosmology · Physics 2015-10-02 Filip Hejda , Jiří Bičák

We construct novel scalarized black hole (BH) solutions beyond the general relativity (GR) framework. These scalarized BH solutions are extended from the Schwarzschild one and the non-Schwarzschild one in the pure Einstein-Weyl gravity. By…

General Relativity and Quantum Cosmology · Physics 2024-01-10 Xi-Jing Wang , Guoyang Fu , Peng Liu , Xiao-Mei Kuang , Bin Wang , Jian-Pin Wu

In the context of effective field theory, we consider quantum gravity with minimally coupled massless particles. Fixing the background geometry to be of the Kerr-Schild type, we fully determine the one-loop effective action of the theory…

High Energy Physics - Theory · Physics 2015-12-01 Basem Kamal El-Menoufi