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The behaviour of stationary gravitational perturbations is studied for generalised static black holes in spacetimes of greater than three dimensions, using the formulation developed by the present author and Ishibashi. For the case in which…

High Energy Physics - Theory · Physics 2009-11-10 Hideo Kodama

Physical interpretation of some stationary and non-stationary regions of the spinning C-metric is presented. They represent different spacetime regions of a uniformly accelerated Kerr black hole. Stability of geodesics corresponding to…

General Relativity and Quantum Cosmology · Physics 2016-11-09 V. Pravda , A. Pravdova

Einstein's equations imply that a gravitationally collapsed object forms an event horizon. But what lies on the other side of this horizon? In this paper, we question the reality of the conventional solution (the black hole), and point out…

High Energy Physics - Theory · Physics 2025-05-22 Kostas Tzanavaris , Latham Boyle , Neil Turok

Solution generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric and stationary spacetimes continuously connected to…

General Relativity and Quantum Cosmology · Physics 2015-03-31 Marco Astorino

We propose a quantum model of spinning black holes with the integrable ring singularities. For the charged Kerr-Newman quantum metric, the complete regularization takes place at fixing of the maximal (cut-off) energy of gravitons,…

General Relativity and Quantum Cosmology · Physics 2024-02-26 V. P. Neznamov , S. Yu. Sedov , V. E. Shemarulin

Using the covariant phase space formalism, we compute the conserved charges for a solution, describing an accelerating and electrically charged Reissner-Nordstrom black hole. The metric is regular provided that the acceleration is driven by…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Marco Astorino

The exact metric of a moving Kerr black hole with an arbitrary constant velocity is derived in Kerr-Schild coordinates. We then calculate the null equatorial gravitational deflection caused by a radially moving Kerr source up to the second…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Weijun Li , Zhongwen Feng , Xia Zhou , Xueling Mu , Guansheng He

A short review on spherically symmetric static regular black holes and spherically symmetric non singular cosmological space-time is presented. Several models of regular black holes, including new ones, are considered. First, a large class…

General Relativity and Quantum Cosmology · Physics 2022-11-24 Lorenzo Sebastiani , Sergio Zerbini

We develop a systematic framework for formulating and solving the conditions that lead to separability in stationary, axisymmetric spacetimes in the presence of matter fields. Guided by Carter's metric form, we introduce a general…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Hyeong-Chan Kim , Wonwoo Lee

Stationary axisymmetric systems of two extreme Kerr sources separated by a massless strut, which arise as subfamilies of the well-known Kinnersley-Chitre solution, are studied. We present explicit analytical formulas for the individual…

General Relativity and Quantum Cosmology · Physics 2015-05-28 V. S. Manko , E. Ruiz , M. B. Sadovnikova

After a brief summary of the basic properties of stationary spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields, we concentrate on extremal cases, for which the horizon surface gravity vanishes. We…

General Relativity and Quantum Cosmology · Physics 2015-11-06 Jiří Bičák , Filip Hejda

We study a limit of the Kerr-(A)dS spacetime in a general dimension where an arbitrary number of its rotational parameters is set equal. The resulting metric after the limit formally splits into two parts - the first part has the form of…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Eliška Polášková , Pavel Krtouš

We discuss universal properties of axisymmetric and stationary configurations consisting of a central black hole and surrounding matter in Einstein-Maxwell theory. In particular, we find that certain physical equations and inequalities…

General Relativity and Quantum Cosmology · Physics 2011-04-28 Marcus Ansorg , Jörg Hennig , Carla Cederbaum

The extremal Reissner-Nordstr\"om black hole admits a conformal inversion symmetry, in which the metric is mapped into itself under an inversion of the radial coordinate combined with a conformal rescaling. In the rotating generalisation,…

High Energy Physics - Theory · Physics 2020-10-14 M. Cvetic , C. N. Pope , A. Saha

This paper investigates the trajectories of light beams in a Kerr metric, which describes the gravitational field in the neighborhood of a rotating black hole. After reduction by cyclic coordinates, this problem reduces to analysis of a…

Dynamical Systems · Mathematics 2025-01-23 Ivan Bizyaev

A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alexander Burinskii , Emilio Elizalde , Sergi R. Hildebrandt , Giulio Magli

We obtain rotating black hole metric for higher dimensional Einstein and pure Lovelock gravity by employing two independent and well motivated methods. One is based on the principle of incorporation of Newtonian acceleration for timelike…

General Relativity and Quantum Cosmology · Physics 2013-09-27 Naresh Dadhich , Sushant G. Ghosh

The near horizon geometries are usually constructed by implementing a specific limit to a given extreme black hole configuration. Their salient feature is that the isometry group includes the conformal subgroup SO(2,1). In this work, we…

General Relativity and Quantum Cosmology · Physics 2016-09-21 Anton Galajinsky , Kirill Orekhov

Here we present a novel classical model to describe the near-inner horizon geometry of a rotating, accreting black hole. The model assumes spacetime is homogeneous and is sourced by radial streams of a collisionless, null fluid, and it…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Tyler McMaken , Andrew J. S. Hamilton

We analyze the relativistic dynamical properties of Keplerian and non-Keplerian circular orbits in a general axisymmetric and stationary gravitational field, and discuss the implications for the stability of co- and counter-rotating…

General Relativity and Quantum Cosmology · Physics 2015-06-25 C. Barrabes , B. Boisseau , W. Israel
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