A charged anisotropic wellbehaved AdlerFinchSkea solution satisfying Karmarkar condition
Abstract
In the present paper, we discover a new wellbehaved charged anisotropic solution of EinsteinMaxwell’s field equations. We ansatz the metric potential g00 of the form given by Maurya et al. (Eur. Phys. J. C 76(12) (2016) 693) with n = 2. In their paper, it is mentioned that for n = 2, the solution is not wellbehaved for neutral configuration as the speed of sound is nondecreasing radially outward. However, the solution can represent a physically possible configuration with the inclusion of some net electric charge, i.e. the solution can become a wellbehaved solution with decreasing sound speed radially outward for a charged configuration. Due to the inclusion of electric charge, the solution leads to a very stiff equationofstate (EoS) with the velocity of sound at the center vr02 = 0.819, vt02 = 0.923 and the compactness parameter u = 0.823 is close to the Buchdahl limit 0.889. This stiff EoS support a compact star configuration of mass 5.418M⊙ and radius of 10.1km.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2017
 DOI:
 10.1142/S021827181750078X
 arXiv:
 arXiv:1702.00299
 Bibcode:
 2017IJMPD..2650078B
 Keywords:

 Charged compact star;
 Finch–Skea spacetime;
 Karmarkar condition;
 02.60.Cb;
 04.20.q;
 04.20.Jb;
 04.40.Nr;
 04.40.Dg;
 Numerical simulation;
 solution of equations;
 Classical general relativity;
 Exact solutions;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 Relativistic stars: structure stability and oscillations;
 Physics  General Physics
 EPrint:
 Published in Int. J. Mod. Phys. D 0, 1750078 (2017)