TITLE:
Class of Charged Fluid Balls in General Relativity
AUTHORS:
A. Sah, Prakash Chandra
KEYWORDS:
Exact Solution, Einstein’s Field Equations, Charged Fluid Ball, Compact Star, General Relativity
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.6 No.4,
December
29,
2016
ABSTRACT: In the present study,we have obtained a new analytical solution of combined Einstein-Maxwell field equations describing the interior field of a ball having staticspherically symmetric isotropic charged fluid within it. The charge and electric field intensity are zero at the center and monotonically increasing towards the boundary of the fluid ball. Besides these,adiabatic index is also increasing towards the boundary and becomes infinite on it. All other physical quantities such as pressure, density, adiabatic speed of sound, charge density, adiabatic index are monotonically decreasing towards the surface. Causality condition is obeyed at the center of ball. In the limiting case ofvanishingly small charge, the solution degenerates into Schwarzchilduniform density solution for electrically neutral fluid. The solution joinssmoothly to the Reissner-Nordstrom solution over the boundary. We have constructed a neutron star model by assuming the surface density. The mass of the neutron star comeswith radius 14.574 km.