Anisotropic Strange Stars with Nonlinear Equation of State

Abstract

The modeling of superdense matter is an interesting research area and in the last decades, such models allow explain the behavior of massive objects as neutron stars, quasars, pulsars and white dwarfs. Taking local anisotropy into consideration, in this paper we present a new classes of solutions for the Einstein´s field equations in a spherically symmetric spacetime under the influence of an electric field considering a quadratic equation of state with a particular form the metric potential that depends on an adjustable parameter. The obtained solutions can be written in terms of elementary functions, namely polynomials and algebraic functions. The graphs generated show that physical variables such as metric potentials, radial pressure, energy density, charge density, anisotropy, radial speed sound are consistent with realistic stellar models. The results of this research can be useful in the development and description of new models of compact structures. Keywords: quadratic equation of state, Einstein-Maxwell system, metric potential, adjustable parameter, compact structures