A family of Finch and Skea relativistic stars
Abstract
Several new families of exact solution to the EinsteinMaxwell system of differential equations are found for anisotropic charged matter. The spacetime geometry is that of Finch and Skea which satisfies all criteria for physical acceptability. The exact solutions can be expressed in terms of elementary functions, Bessel functions and modified Bessel functions. When a parameter is restricted to be an integer then the special functions reduce to simple elementary functions. The uncharged model of Finch and Skea [R. Finch and J. E. F. Skea, Class. Quantum Grav. 6 (1989) 467.] and the charged model of Hansraj and Maharaj [S. Hansraj and S. D. Maharaj, Int. J. Mod. Phys. D 15 (2006) 1311.] are regained as special cases. The solutions found admit a barotropic equation of state. A graphical analysis indicates that the matter and electric quantities are well behaved.
 Publication:

International Journal of Modern Physics D
 Pub Date:
 2017
 DOI:
 10.1142/S0218271817500146
 arXiv:
 arXiv:1612.08523
 Bibcode:
 2017IJMPD..2650014M
 Keywords:

 General relativity;
 compact star;
 equation of state;
 04.40.Dg;
 95.30.Sf;
 04.50.Gh;
 Relativistic stars: structure stability and oscillations;
 Relativity and gravitation;
 Higherdimensional black holes black strings and related objects;
 General Relativity and Quantum Cosmology
 EPrint:
 27 pages, submitted for publication