New Mathematical Models of Compact Stars with Charge Distributions

Manuel Malaver

doi:10.11648/j.ijssam.20170205.13

Abstract

In this paper, have been found new class of solutions to the Einstein-Maxwell system for charged anisotropic matter which are relevant in the description of highly compact stellar objects. The equation of state is barotropic with a linear relation between the radial pressure and the energy density and we have considered a prescribed form for the gravitational potential Z. Variables as the energy density, radial pressure and the metric coefficients are written in terms of elementary and polynomial functions. The obtained models not admit singularities in the matter and the charge density.

Highlights

From the development of Einsteins theory of general relativity, the modelling of superdense mater configurations is an interesting research area [1, 2]
Maharaj et al [15] generated new models for quark stars with charged anisotropic matter considering a linear equation of state
We have generated new exact solutions to the Einstein-Maxwell system considering a prescribed form for the gravitational potential Z and a lineal equation of state within the framework of MIT-Bag model which is very useful for realistic models of stars

Summary

Introduction

From the development of Einsteins theory of general relativity, the modelling of superdense mater configurations is an interesting research area [1, 2]. Manuel Malaver: New Mathematical Models of Compact Stars with Charge Distributions consider a quadratic equation of state for the matter distribution and specify particular forms for the gravitational potential and electric field intensity. Malaver [26, 27] generated new exact solutions to the Einstein-Maxwell system considering Van der Waals modified equation of state with and without polytropical exponent and [28] presented a anisotropic strange quark matter model by imposing a linear barotropic equation of state with Tolman IV form for the gravitational potential. The objective of this paper is to obtain new exact solutions to the Maxwell-Einstein system for charged anisotropic matter with lineal equation of state in static spherically symmetric spacetime using a prescribed form for the gravitational potential Z.

Einstein Field Equations

Classes of Models

Physical Features of the New Models

Conclusion