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Regular black hole solutions are found among the Guilfoyle exact solutions. These are spherically symmetric solutions of general relativity coupled to Maxwell's electromagnetism and charged matter where the metric potentials and…

General Relativity and Quantum Cosmology · Physics 2016-06-30 José P. S. Lemos , Vilson T. Zanchin

We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black hole (BH) metrics, containing one arbitrary function $g_{tt} =…

General Relativity and Quantum Cosmology · Physics 2011-08-03 K. A. Bronnikov , H. Dehnen , V. N. Melnikov

We obtain the general $n(\ge 4)$-dimensional static solution with an $(n-2)$-dimensional Einstein base manifold for a perfect fluid obeying a linear equation of state $p=-(n-3)\rho/(n+1)$. It is a generalization of Semiz's four-dimensional…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Hideki Maeda

We study a spherically symmetric spacetime made of anisotropic fluid of which radial equation of state is given by $p_1 = -\rho$. This provides analytic solutions and a good opportunity to study the static configuration of black hole plus…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Inyong Cho , Hyeong-Chan Kim

The exact general solution for a sigma model having the $2-d$ stringy black hole (SBH) as internal manifold is found in closed form. We also give the exact solution for the massless complex Sine-Gordon (MCSG) model. Both, models and their…

High Energy Physics - Theory · Physics 2016-08-14 H. J. de Vega , J. Ramírez Mittelbrunn , M. Ramón Medrano , N. Sánchez

We solve the problem of mixing between the fixed scalar and metric fluctuations. First, we derive the decoupled fixed scalar equation for the four-dimensional black hole with two different charges. We proceed to the five-dimensional black…

High Energy Physics - Theory · Physics 2016-08-24 Michael Krasnitz , Igor R. Klebanov

In this paper, we derive the black hole solution in the context of nonlinear electrodynamics (NLED) coupled to a perfect fluid dark matter (PFDM) field. The resulting black hole solution interpolates between the $AdS$…

General Relativity and Quantum Cosmology · Physics 2025-03-10 Amit Kumar , Dharm Veer Singh , Sudhaker Upadhyay

We study the 5-dimensional Einstein-Yang-Mills system with a cosmological constant. Assuming a spherically symmetric spacetime, we find a new analytic black hole solution, which approaches asymptotically "quasi-Minkowski", "quasi anti-de…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Naoya Okuyama , Kei-ichi Maeda

We investigated an exact solution in a conformal invariant Randall-Sundrum 5D warped brane world model on a time dependent Kerr-like spacetime. The singular points are determined by a quintic polynomial in the complex plane and fulfills…

High Energy Physics - Theory · Physics 2025-08-20 Reinoud Jan Slagter

In this paper, we present exact spherically symmetric Gauss-Bonnet black hole solutions surrounded by a cloud of strings fluid with cosmological constant in $D>4$ dimensions. Both charged and uncharged cases are considered. We focus on the…

General Relativity and Quantum Cosmology · Physics 2023-12-27 Wenxi Zhai , Xiangdong Zhang

The 3+1 formalism of Thorne, Price and Macdonald has been used to derive the linear two-fluid equations describing transverse and longitudinal waves propagating in the two-fluid ideal collisionless plasmas surrounding a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2012-11-12 M. Atiqur Rahman

We examine the steady-state spherically symmetric accretion of relativistic fluids, with a polytropic equation of state, onto a higher dimensional Schwarzschild black hole. The mass accretion rate, critical radius, and flow parameters are…

General Relativity and Quantum Cosmology · Physics 2013-11-14 Anslyn J. John , Sushant G. Ghosh , Sunil D. Maharaj

We describe the systematical construction of the first order formalism for multi-centered black holes with flat three dimensional base-space, within the so-called $T^{3}$ model of N=2, D=4 ungauged Maxwell-Einstein supergravity. The three…

High Energy Physics - Theory · Physics 2015-06-05 Armen Yeranyan

We study spherically symmetric geometries made of anisotropic perfect fluid based on general relativity. The purpose of the work is to find and classify black hole solutions in closed spacetime. In a general setting, we find that a static…

General Relativity and Quantum Cosmology · Physics 2017-10-04 Hyeong-Chan Kim

An exact solution of the Lema\^{i}tre--Tolman--Bondi class is investigated as a possible model of the Schwarzschild-like black hole embedded in a non-static dust-filled universe for the three types of spatial curvature. The solution is…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Elena Kopteva , Pavlina Jaluvkova , Irina Bormotova , Zdenek Stuchlik

Using a nonlinear electrodynamics coupled to General Relativity a new regular exact black hole solution is found. The nonlinear theory reduces to the Maxwell one in the weak limit, and the solution corresponds to a charged black hole for…

High Energy Physics - Theory · Physics 2016-08-15 Eloy Ayón-Beato , Alberto García

We analyze the static and spherically symmetric perfect fluid solutions of Einstein field equations inspired by the non commutative geometry. In the framework of the non commutative geometry this solution is interpreted as a mini black hole…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Ivan Arraut Guerrero , Davide Batic , Marek Nowakowski

A model is proposed for the interior of a neutral non-rotating black hole. It consists of an ideal fluid with density $\r$ and a negative pressure $p$, obeying an equation of state $p=-\xi\r$. In order to have a solution, $\xi$ must lie in…

General Relativity and Quantum Cosmology · Physics 2023-12-05 C. S. Lam

In this talk, I will summarize recent developments in 5-dimensional supergravity. Apart from black ring solutions, we will discuss the way of obtaining regular (bubbling) solutions with the same charges as black holes. We outline the…

High Energy Physics - Theory · Physics 2009-11-11 Klaus Behrndt

By considering 5--dimensional cosmological models with a bulk filled with a perfect fluid and a cosmological constant, we have found regular instantonic solution which is free from any singularity at the origin of the extra--coordinate and…

High Energy Physics - Theory · Physics 2007-05-23 M. Bouhmadi-Lopez , P. F. Gonzalez-Diaz , A. Zhuk