Some Solutions of Einstein-Maxwell Field Equations for Charged Fluid Sphere

Author(s):  
Abhishek Kumar Singh
2011 ◽  
Vol 20 (09) ◽  
pp. 1675-1687 ◽  
Author(s):  
BASANTI DAS ◽  
PRATAP CHANDRA RAY ◽  
IRINA RADINSCHI ◽  
FAROOK RAHAMAN ◽  
SAIBAL RAY

In this paper we study the isotropic cases of static charged fluid spheres in general relativity. For this purpose we consider two different specializations and under these we solve the Einstein–Maxwell field equations in isotropic coordinates. The analytical solutions thus obtained are matched to the exterior Reissner–Nordström solutions which concern the values for the metric coefficients eν and eμ. We derive the pressure, density and pressure-to-density ratio at the center of the charged fluid sphere and boundary R of the star. Our conclusion is that static charged fluid spheres provide a good connection to compact stars.


2020 ◽  
Vol 17 (09) ◽  
pp. 2050140
Author(s):  
M. Farasat Shamir ◽  
I. Fayyaz

In this paper, we have presented the Einstein–Maxwell equations which are described by the spherically symmetric spacetime in the presence of charge by exploiting the Tolman–Kuchowicz spacetime. The corresponding field equations are constructed and the form of charge distribution is chosen to be [Formula: see text], where [Formula: see text] is a constant quantity. We also find the values of unknown constants from junction conditions and discuss the behavior of effective energy density, effective radial and tangential pressure and anisotropic factor with two viable [Formula: see text] models. We examine the physical stability of charged stellar structure through energy conditions, causality and stability condition. We use modified form of TOV equation for anisotropic charged fluid sphere to analyze the equilibrium condition. In this work, we model the compact star candidate SAXJ 1808.4 – 3658 and study the compactness level and anisotropic behavior corresponding to the variation of physical parameters which are involved in [Formula: see text] models. Further, we evaluate some important properties such as mass-radius ratio compactness factor and surface redshift. It is depicted from this study that the obtained solutions provide strong evidences for more realistic and viable stellar model.


1975 ◽  
Vol 29 (2) ◽  
pp. 357-363 ◽  
Author(s):  
A. Banerjee ◽  
N. Chakravorty ◽  
S. B. Duttachoudhury

1979 ◽  
Vol 20 (10) ◽  
pp. 2455-2468 ◽  
Author(s):  
Bahram Mashhoon ◽  
M. Hossein Partovi

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
Yan Peng

AbstractRecently, with numerical methods, Hod clarified the validity of Thorne hoop conjecture for spatially regular static charged fluid spheres, which were considered as counterexamples against the hoop conjecture. In this work, we provide an analytical proof on Thorne hoop conjecture in the spatially regular static charged fluid sphere spacetimes.


1992 ◽  
Vol 70 (5) ◽  
pp. 341-344 ◽  
Author(s):  
C. Wolf

The metric for a charged fluid sphere in D space-time dimensions is found for the case of vanishing normal pressure. The parameters in the solutions are found by matching the interior solution to the exterior Reissner–Nordstròm solution.


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