  We present exact solutions to the Einstein-Maxwell 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
Einstein-Maxwell 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 $\alpha$. 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 [R. Tikekar, \emph{J. Math. Phys.} \textbf{31}, 2454
(1990)] when $K=-7$ and $\alpha=0$. Our class of charged spheroidal models
generalise the uncharged isotropic Maharaj and Leach solutions
  [S. D. Maharaj and P. G. L. Leach, \emph{J. Math. Phys.} \textbf{37}, 430
(1996)]. In particular, we find an explicit relationship directly relating the
spheroidal parameter $K$ to the electromagnetic field.

General Relativity and Quantum Cosmology