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One of the main issues in gravitation is the presence of singularities in the most common space-time solutions of General Relativity, as the case of black holes. A way of constructing regular solutions that remove spacelike singularities…

General Relativity and Quantum Cosmology · Physics 2024-07-30 G. Alencar , Kirill A. Bronnikov , Manuel E. Rodrigues , Diego Sáez-Chillón Gómez , Marcos V. de S. Silva

We analyse properties of general stationary and axisymmetric spacetimes, with a particular focus on circularity -- an accidental symmetry enjoyed by the Kerr metric, and therefore widely assumed when searching for rotating black hole…

General Relativity and Quantum Cosmology · Physics 2025-10-06 Eugeny Babichev , Jacopo Mazza

An analytical metric of four-dimensional General Relativity, representing an array of collinear and accelerating black holes, is constructed with the inverse scattering method. The solution can be completely regularised from any conical…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

We analyze a four-parameter class of asymptotically flat magnetized solutions to the Einstein-Maxwell equations constructed by Manko et al., and show that these represent systems of two co-rotating extreme black holes with equal masses and…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Gérard Clément

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

We consider the classification of asymptotically flat, stationary, vacuum black hole spacetimes in four and five dimensions, that admit one and two commuting axial Killing fields respectively. It is well known that the Einstein equations…

General Relativity and Quantum Cosmology · Physics 2023-01-05 James Lucietti , Fred Tomlinson

We obtain a new exact solution of the 5D Einstein equations in vacuum describing a distorted Myers-Perry black hole with a single angular momentum. Locally, the solution is interpreted as a black hole distorted by a stationary $U(1)\times…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Shohreh Abdolrahimi , Jutta Kunz , Petya Nedkova

The existence of light rings in a spacetime is closely related to the existence of black hole horizons and observables such as the ringdown and the shadow. Black holes, compared to nonvacuum ultracompact objects, have rather unique…

General Relativity and Quantum Cosmology · Physics 2023-01-20 Aydin Tavlayan , Bayram Tekin

We construct regular black holes with anti-de Sitter asymptotics in theories incorporating infinite towers of higher-order curvature corrections in any dimension $D \ge 5$. We find that regular black branes are generically inner-extremal,…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Robie A. Hennigar , David Kubizňák , Sebastian Murk , Ioannis Soranidis

In this paper, we present a rotating de Rham-Gabadadze-Tolley black hole with a positive cosmological constant in massive gravity, achieved by applying a modified Newman-Janis algorithm. The black hole exhibits stable orbits of constant…

General Relativity and Quantum Cosmology · Physics 2023-07-28 Mohsen Fathi , J. R. Villanueva , Norman Cruz

Light rings (LRs) play an important role in gravitational wave observations and black hole photographs. In this paper, we investigate general features of LRs in stationary, axisymmetric, asymptotically flat spacetimes with or without…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Minyong Guo , Sijie Gao

We present a method for constructing stationary, asymptotically flat, rotating solutions of Einstein's field equations. One of the spun-up solutions has quasilocal mass but no global mass. It has an ergosphere but no event horizon. The…

General Relativity and Quantum Cosmology · Physics 2010-11-19 E. N. Glass , J. P. Krisch

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

Applying the Pomeransky inverse scattering method to the four-dimensional vacuum Einstein equations and using the Levi-Civita solution as a seed, we construct a two-soliton solution with cylindrical symmetry. In our previous work, we…

General Relativity and Quantum Cosmology · Physics 2016-09-05 Takahisa Igata , Shinya Tomizawa

We investigate a new model of nonlinear electromagnetic field coupled with the gravitation field. The black hole solution is obtained possessing the asymptotic Reissner-Nordstr\"om solution. The electric field has the finite value at the…

General Physics · Physics 2015-04-16 S. I. Kruglov

We construct explicit examples of globally regular static, spherically symmetric solutions in general relativity with scalar and electromagnetic fields which describe traversable wormholes (with flat and AdS asymptotics) and regular black…

General Relativity and Quantum Cosmology · Physics 2015-03-20 S. V. Bolokhov , K. A. Bronnikov , M. V. Skvortsova

Using recently proposed new solution generating technique, we construct the charged version of Pomeranski-Senkov doubly rotating black ring in the $U(1)^3$ five-dimensional supergravity. For arbitrary values of charges the solution is…

High Energy Physics - Theory · Physics 2010-04-21 Dmitri V. Gal'tsov , Nikolai G. Scherbluk

We study a simple analytic solution to Einstein's field equations describing a thin spherical shell consisting of collisionless particles in circular orbit. We then apply two independent criteria for the identification of circular orbits,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Monica L. Skoge , Thomas W. Baumgarte

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

Static black holes contain regions of spacetime which not even light can escape from. In the centre of mass frame, these blocks are separated from each other by event horizons. Unlike pointlike particles, fields can spread and interact…

Analysis of PDEs · Mathematics 2024-12-03 Antti Kujanpää
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