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We describe the dynamics of a thin spherically symmetric gravitating shell in the Reissner-Nordstrom metric of the electrically charged black hole. The energy-momentum tensor of electrically neutral shell is modelled by the perfect fluid…

General Relativity and Quantum Cosmology · Physics 2010-10-25 V. I. Dokuchaev , S. V. Chernov

In general relativity, the asymptotically flat space-time of a charged, spherically symmetric (non-rotating) body is described by the Reissner-Nordstr\"om metric. This metric corresponds to a naked singularity when the absolute value of…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Ruchi Mishra , Włodek Kluźniak

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. It specifies which two of the fluid's characteristics are given functions and picks up accordingly one of the three…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. V. Ivanov

We consider the extension of the Majumdar-type class of static solutions for the Einstein-Maxwell equations, proposed by Ida to include charged perfect fluid sources. We impose the equation of state $\rho+3p=0$ and discuss spherically…

General Relativity and Quantum Cosmology · Physics 2009-11-11 V. Varela

Lorentz proposed a classical model of electron in which electron was assumed to have only 'electromagnetic mass'. We modeled electron as charged anisotropic perfect fluid sphere admitting non static conformal symmetry. It is noticed that…

High Energy Physics - Theory · Physics 2011-10-11 I. Radinschi , F. Rahaman , M. Kalam , K. Chakraborty

In this paper we show that the on-shell Lagrangian of a perfect fluid depends on microscopic properties of the fluid, giving specific examples of perfect fluids with different on-shell Lagrangians but with the same energy-momentum tensor.…

General Relativity and Quantum Cosmology · Physics 2018-03-28 P. P. Avelino , R. P. L. Azevedo

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

It is shown in the tetrad representation that there are Reissner--Nordstr\"om solutions with a finite action and total inertial mass equal to the gravitational mass of the considered system. These solutions describe systems of…

General Physics · Physics 2019-06-19 S. I. Manaenkov

Present paper provides a new model for perfect fluid sphere filled with charge in higher dimensional spacetime admitting conformal symmetry. We consider a linear equation of state with coefficients fixed by the matching conditions at the…

General Physics · Physics 2016-01-13 Piyali Bhar , Tuhina Manna , Farook Rahaman , Saibal Ray , and G. S. Khadekar

We describe spherically symmetric steady-state accretion of perfect fluid in the Reissner-Nordstrom metric. We present analytic solutions for accretion of a fluid with the linear equations of state and of the Chaplygin gas. It is also shown…

General Relativity and Quantum Cosmology · Physics 2011-06-20 E. O. Babichev , V. I. Dokuchaev , Yu. N. Eroshenko

We propose two models for constant density relativistic perfect-fluid spheres supported by thin shell configurations. These models are obtained from the Schwarzschild constant density star solution: the first via the collapse of the…

General Relativity and Quantum Cosmology · Physics 2020-09-16 João Luís Rosa , Pedro Piçarra

We consider thin spherical shells of matter in both Newtonian gravity and general relativity, and examine their equilibrium configurations and dynamical stability. Thin-shell models are admittedly a poor substitute for realistic stellar…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Philip LeMaitre , Eric Poisson

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

Interior perfect fluid solutions for the Reissner-Nordstrom metric are studied on the basis of a new classification scheme. General formulas are found in many cases. Explicit new global solutions are given as illustrations. Known solutions…

General Relativity and Quantum Cosmology · Physics 2009-11-07 B. V. Ivanov

Astrophysical fluids may acquire non-zero electrical charge because of strong irradiation or charge separation in a magnetic field. In this case, electromagnetic and gravitational forces may act together and produce new equilibrium…

High Energy Astrophysical Phenomena · Physics 2011-10-25 Jiří Kovář , Petr Slaný , Zdeněk Stuchlík , Vladimír Karas , Claudio Cremaschini , John C. Miller

We investigate gravitational collapse of thick shell of fluid in the isotropic homogeneous universe without radiation described by the Einstein gravity with cosmological constant. We construct analytic solutions of this kind interpolating…

General Relativity and Quantum Cosmology · Physics 2022-09-07 Shuichi Yokoyama

Via a straightforward integration of the Einstein equations with cosmological constant, all static circularly symmetric perfect fluid 2+1 solutions are derived. The structural functions of the metric depend on the energy density, which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alberto A. Garcia , Cuauhtemoc Campuzano

Using the well-known ``displace, cut and reflect'' method we construct thin disks made of a perfect fluid in presence of a magnetic field. The models are based in a magnetic Reissner-Nordstrom metric of Einstein-Maxwell equations for a…

General Relativity and Quantum Cosmology · Physics 2014-03-12 Gonzalo García-Reyes , Omar A. Espitia

A concentric charged thin-shell encircling a Reissner-Nordstr\"{o}m black hole screens the clectric / magnetic charge completely to match with an external Schwarzschild black hole. The negative mass thin-shell is shown to be stable against…

General Relativity and Quantum Cosmology · Physics 2015-07-22 S. Habib Mazharimousavi , M. Halilsoy

We utilize a recent formulation of a spherically symmetric spacetime endowed with a general decomposition of the energy momentum tensor [Phys. Rev. D, 75, 024031 (2007)] to derive equations governing spherically symmetric distributions of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Paul Lasky , Anthony Lun
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