A charged anisotropic well-behaved Adler-Finch-Skea solution satisfying Karmarkar condition

作者:Bhar Piyali*; Singh Ksh Newton; Rahaman Farook; Pant Neeraj; Banerjee Sumita
来源:International Journal of Modern Physics D, 2017, 26(8): 1750078.
DOI:10.1142/S021827181750078X

摘要

In the present paper, we discover a new well-behaved charged anisotropic solution of Einstein-Maxwell'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 well-behaved 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 well-behaved 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 equation-of-state (EoS) with the velocity of sound at the center v(r0)(2) = 0.819, v(t0)(2) = 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 5.418 M-circle dot and radius of 10.1 km.

  • 出版日期2017-7