%0 Journal Article
%T Class of Charged Fluid Balls in General Relativity
%A A. Sah
%A Prakash Chandra
%J International Journal of Astronomy and Astrophysics
%P 494-511
%@ 2161-4725
%D 2016
%I Scientific Research Publishing
%R 10.4236/ijaa.2016.64038
%X <p style=\"margin-left:10.0pt;\">
	<span style=\"font-family:;\" \"=\"\">In the
present study</span><span style=\"font-family:;\" \"=\"\">,</span><span style=\"font-family:;\" \"=\"\"> we
have obtained a new analytical solution of combined Eins<span>tein-Maxwell field equations describing the interior field of a ball
having static</span> spherically 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</span><span style=\"font-family:;\" \"=\"\">,</span><span style=\"font-family:;\" \"=\"\"> 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 of</span><span style=\"font-family:;\" \"=\"\"> vanishingly small charge, the solution
degenerates into Schwarzchild</span><span style=\"font-size:12.0pt;line-height:102%;\"> </span><span style=\"font-family:;\" \"=\"\">uniform density solution for electrically
neutral fluid. The solution joins</span><span style=\"font-family:;\" \"=\"\"> smoothly to the Reissner-Nordstrom solution over the boundary. We have
constructed a neutron st<span>ar model by assuming
the surface density <img src=\"Edit_1fd53ecb-3d15-4feb-a248-fbe84383b85b.bmp\" alt=\"\" /><span></span>. The mass of th</span>e neutron star comes <img src=\"Edit_b066ee95-b583-4278-969c-ac45945f3373.bmp\" alt=\"\" /><span></span> with radius
14.574 km.</span> 
</p>
%K Exact Solution
%K Einstein¡¯s Field Equations
%K Charged Fluid Ball
%K Compact Star
%K General Relativity
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=73125