Tikekar superdense stars in electric fields
Abstract
We present exact solutions to the EinsteinMaxwell system of equations with a specified form of the electric field intensity by assuming that the hypersurface {t=constant} are spheroidal. The solution of the EinsteinMaxwell system is reduced to a recurrence relation with variable rational coefficients which can be solved in general using mathematical induction. New classes of solutions of linearly independent functions are obtained by restricting the spheroidal parameter K and the electric field intensity parameter α. Consequently, it is possible to find exact solutions in terms of elementary functions, namely, polynomials and algebraic functions. Our result contains models found previously including the superdense Tikekar neutron star model [J. Math. Phys. 31, 2454 (1990)] when K=7 and α=0. Our class of charged spheroidal models generalize the uncharged isotropic Maharaj and Leach solutions [J. Math. Phys. 37, 430 (1996)]. In particular, we find an explicit relationship directly relating the spheroidal parameter K to the electromagnetic field.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 April 2007
 DOI:
 10.1063/1.2716204
 arXiv:
 arXiv:grqc/0702102
 Bibcode:
 2007JMP....48d2501K
 Keywords:

 97.60.Jd;
 97.10.Cv;
 97.10.Ld;
 Neutron stars;
 Stellar structure interiors evolution nucleosynthesis ages;
 Magnetic and electric fields;
 polarization of starlight;
 General Relativity and Quantum Cosmology
 EPrint:
 15 pages, To appear in J. Math. Phys