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Fluids in external gravity may oscillate with frequencies characteristic of the epicyclic motions of test particles. We explicitly demonstrate that global oscillations of a slender, perfect fluid torus around a Kerr black hole admit…

Astrophysics · Physics 2009-11-13 Marek A. Abramowicz , Omer M. Blaes , Jiri Horak , Wlodek Kluzniak , Paola Rebusco

We study general classes and properties of extremal and non-extremal static black-hole solutions of N=2, d=5 supergravity coupled to vector multiplets using the recently proposed H-FGK formalism, which we also extend to static black…

High Energy Physics - Theory · Physics 2015-06-04 Patrick Meessen , Tomas Ortín , Jan Perz , C. S. Shahbazi

An exact solution of the Einstein field equations is found under the assumption of spherically symmetry and the existence of one-parameter group of homothetic motions. This solution has a singularity at $r = 0$, and has non-vanishing…

General Relativity and Quantum Cosmology · Physics 2018-03-23 Ragab M. Gad , M. M. Hassan

Following the interpretation of matter source that the energy-momentum tensor of anisotropic fluid can be dealt with effectively as the energy-momentum tensor of perfect fluid plus linear (Maxwell) electromagnetic field, we obtain the…

High Energy Physics - Theory · Physics 2022-01-13 Yu-Mei Wu , Yan-Gang Miao

In general relativity, the gravitational field of an electrically charged, non-rotating, spherically symmetric body is described by the Reissner-Nordstr\"om (RN) metric. Depending on the charge to mass ratio, the solution describes a black…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Ruchi Mishra , Ronaldo S. S. Vieira , Włodek Kluźniak

We consider the classification of static near-horizon geometries of stationary extremal (not necessarily BPS) black hole solutions of five dimensional Einstein-Maxwell theory coupled to a Chern-Simons term with coupling xi (with xi=1…

High Energy Physics - Theory · Physics 2009-12-23 Hari K. Kunduri , James Lucietti

We study flows of non-supersymmetric attractor black holes in the context of gauge/gravity correspondence. As our bulk theory, we consider the Einstein-Maxwell-Dilaton system with a single dilaton field coupled to two Maxwell fields and…

High Energy Physics - Theory · Physics 2022-09-28 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

We generalize $f(R)$-theory of anti-evaporation/evaporation for a Reissner-Nordstr\"om black hole in $n$-dimensional space-time. We consider non-linear conformally invariant Maxwell field. By perturbing the fields over Nariai-like…

General Relativity and Quantum Cosmology · Physics 2019-02-20 YuHong Fang , Zhiqi Huang , HaiTao Miao , Naveen K Singh

The static black hole solutions to the Einstein-Maxwell equations are all spherically symmetric, as are many of the recently discovered black hole solutions in theories of gravity coupled to other forms of matter. However, counterexamples…

General Relativity and Quantum Cosmology · Physics 2010-11-19 S. Alexander Ridgway , Erick J. Weinberg

A nonlinear charged version of the (2+1)-anti de Sitter black hole solution is derived. The source to the Einstein equations is a Born-Infeld electromagnetic field, which in the weak field limit becomes the (2+1)-Maxwell field. The obtained…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

The Hawking-Penrose singularity theorem states that a singularity forms inside a black hole in general relativity. To remove this singularity one must resort to a more fundamental theory. Using a corrected dynamical equation arising in loop…

General Relativity and Quantum Cosmology · Physics 2018-01-15 Changjun Gao , Youjun Lu , You-Gen Shen , Valerio Faraoni

Ricci flow is a natural gradient flow of the Einstein-Hilbert action. Here we consider the analog for the Einstein-Maxwell action, which gives Ricci flow with a stress tensor contribution coupled to a Yang-Mills flow for the Maxwell field.…

High Energy Physics - Theory · Physics 2022-10-27 Davide De Biasio , Julian Freigang , Dieter Lust , Toby Wiseman

We consider the static, spherically symmetric black hole solutions in bigravity theory for minimal model with a condition $f_{\mu \nu} = C^{2} g_{\mu \nu}$ and evaluate the entropy for black holes. In this condition, we show that there…

High Energy Physics - Theory · Physics 2013-08-27 Taishi Katsuragawa , Shin'ichi Nojiri

In this paper we obtain topological static solutions of some kind of pure $F(R)$ gravity. The present solutions are two kind: first type is uncharged solution which corresponds with the topological (a)dS Schwarzschild solution and second…

High Energy Physics - Theory · Physics 2015-03-18 S. H. Hendi , B. Eslam Panah , S. M. Mousavi

In this paper, we investigate spherically symmetric perfect fluid gravitational collapse in metric $f(R)$ gravity. We take non-static spherically symmetric metric in the interior region and static spherically symmetric metric in the…

General Relativity and Quantum Cosmology · Physics 2011-01-17 M. Sharif , H. Rizwana Kausar

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

We present a quantum description of electrically charged spherically symmetric black holes given by coherent states of gravitons in which both the central singularity and the Cauchy horizon are not realised.

General Relativity and Quantum Cosmology · Physics 2022-06-01 R. Casadio , A. Giusti , J. Ovalle

Exploiting a rotating Schwarzschild black hole metric, we study hydrodynamic properties of perfect fluid whirling inward toward the black holes along a conical surface. On the equatorial plane of the rotating Schwarzschild black hole, we…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Soon-Tae Hong , Sung-Won Kim

While several articles have been written on Electrohydrodynamics (EHD) flows or flows with constant vorticity separately, little is known about the extent to which the combined effects of EHD and constant vorticity affect the flow. This…

Fluid Dynamics · Physics 2024-01-24 M. V. Flamarion , E. Kochurin , R. Ribeiro-Jr , N. Zubarev

In this paper we utilize symmetries in order to exhibit exact solutions to Einstein's equation of a perfect fluid on a static manifold all of whose spatial factor belongs to the conformal class of a Riemannian space of constant curvature.

Differential Geometry · Mathematics 2019-05-02 Marcelo Barboza , Willian Tokura , Levi Adriano