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In general, the field equation of $f(R)$ gravitational theory is very intricate, and therefore, it is not an easy task to derive analytical solutions. We consider rotating black hole spacetime four-dimensional in the $f(R)$ gravitational…

General Relativity and Quantum Cosmology · Physics 2023-06-14 G. L. N. Nashed , Shin'ichi Nojiri

We construct new supersymmetric black ring solutions on the Eguchi-Hanson base space as solutions of five-dimensional minimal supergravity. The solutions have the same two angular momentum components and the asymptotic structure on…

High Energy Physics - Theory · Physics 2008-11-26 Shinya Tomizawa , Hideki Ishihara , Masashi Kimura , Ken Matsuno

The domain of outer communication of five-dimensional asymptotically flat stationary spacetimes may possess non-trivial 2-cycles. We discuss how this may lead to a gross violation of black hole uniqueness, beyond the existence of black…

High Energy Physics - Theory · Physics 2017-04-14 Hari K. Kunduri , James Lucietti

The Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti-de Sitter space. Matter fields in anti-de Sitter space can be in stable equilibrium even if the potential energy is unbounded from…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Vanzo

The first exact rotating charged black hole solution to the Einstein{nonlinear electrodynamics theory is reported. It is equipped with mass, rotation parameter, electric and magnetic charges, and three parameters due to the electrodynamics:…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Alberto A. Garcia-Diaz

Recently our understanding of black holes in D-spacetime dimensions, as solutions of the Einstein equation, has advanced greatly. Besides the well established spherical black hole we have now explicitly found other species of topologies of…

High Energy Physics - Theory · Physics 2010-03-12 Maria J. Rodriguez

We present the topological solutions of Einstein-dilaton gravity in the presence of a non-Abelian Yang-Mills field. In 4 dimensions, we consider the $So(3)$ and $So(2,1)$ semisimple group as the Yang-Mills gauge group, and introduce the…

General Relativity and Quantum Cosmology · Physics 2014-11-21 M. H. Dehghani , A. Bazrafshan

Supersymmetric, rotating, asymptotically flat black holes with a regular horizon are rare configurations in String Theory. One example is known in five spacetime dimensions, within the toroidal compactification of type IIB string theory.…

High Energy Physics - Theory · Physics 2009-10-31 C. A. R. Herdeiro

We construct singly and doubly spinning non-supersymmetric F1--P black ring solutions in five-dimensional supergravity. These black rings have regular horizons and non-zero temperature. The singly spinning configuration lies in the duality…

High Energy Physics - Theory · Physics 2026-05-29 Pavan Dharanipragada , Gurmeet Singh Punia , Amitabh Virmani

We investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system, for asymptotically flat, stationary, bi-axisymmetric black hole solutions with various horizon topologies in five-dimensional vacuum…

High Energy Physics - Theory · Physics 2025-10-03 Jun-ichi Sakamoto , Shinya Tomizawa

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

We consider thorny spheres, that is 2-dimensional compact surfaces which are everywhere locally isometric to a round sphere $S^2$ except for a finite number of isolated points where they have conical singularities. We use thorny spheres to…

High Energy Physics - Theory · Physics 2009-11-07 V. P. Frolov , D. V. Fursaev , D. N. Page

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein

We consider stationary extreme black hole solutions to the Einstein-Yang-Mills equations in four dimensions, allowing for a negative cosmological constant. We prove that any axisymmetric black hole of this kind possesses a near-horizon…

High Energy Physics - Theory · Physics 2013-04-23 Carmen Li , James Lucietti

Using a solution generating technique, we derive a new exact solution describing a charged static black ring on the Taub-bolt gravitational instanton in five dimensions. Unlike the black ring constructed on the self-dual Taub-NUT instanton,…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Cristian Stelea , Marian C. Ghilea

Using the Ernst formalism, a novel solution of vacuum general relativity (GR) was recently obtained [1], describing a Schwarzschild black hole (BH) immersed in a nonasymptotically flat rotating background, dubbed swirling universe, with the…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Zeus S. Moreira , Carlos A. R. Herdeiro , Luís C. B. Crispino

We present new, exact, rotating and accelerating solutions within the framework of five-dimensional Einstein-Gauss-Bonnet theory at the Chern-Simons point. The rotating solutions describe black holes characterized by a single rotation…

A straightforward generalization of the celebrated uniqueness theorem to dimensions greater than four was recently found to fail in two pure gravity cases - the 5d rotating black ring and the black string on R^{3,1} * S^1. Two amendments…

High Energy Physics - Theory · Physics 2007-05-23 Barak Kol

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

We investigate the attractor mechanism of five-dimensional extremal rotating black holes in Einstein gravity minimally coupled with a multiplet complex scalar. By imposing regularity on the horizon, we show that the only possible attractor…

High Energy Physics - Theory · Physics 2023-06-13 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda