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

Abhishek Kumar Singh¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.97-103, Oct-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.97103

Online published on Oct 31, 2018

Copyright © Abhishek Kumar Singh . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In the present paper we have found some solutions of Einstein-Maxwell Field equations for some charged fluid sphere. Assuming that the spin of the individual particles compositing the fluids are all aligned along radial direction, we have obtained solutions by choosing metric potentials as λ(r) and υ(r) on different suitable forms or conditions. Pressure and density have been also calculated for the distribution and the physical constants appearing in the solution have been evaluated by matching the solutions to the Reissner-Nordstrom metric at the boundary. It is found that our metric give the solutions to only that value of constants for which pressure and density are positive. Also some physical and kinematical properties of the models are discussed.

Key-Words / Index Term :
Einstein-Cartan theory, Charged fluid sphere, Metric potential, boundary conditions, pressure, matter density, charged density

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