Abstract
Stellar models consisting of spherically symmetric distribution of charged matter locally anisotropic in strong gravitational fields have been widely considered in the frame of general relativity. These investigations require the generation of exact models through the resolution of the Einstein-Maxwell system of equations. The presence of charge produces values for redshifts, luminosity and mass for the stars different in relation to neutral matter. Some applications for dense charged matter we have them in the description of quark stars, spheres with linear or non-linear equation of state, hybrid stars and accreting process in compact objects where the matter acquires large amounts of electric charge. In this paper, we studied the behavior of relativistic compact objects with anisotropic matter distribution considering Van der Waals modified equation of state proposed in 2013 for Malaver and a gravitational potential Z(x) that depends on an adjustable parameter α in order to integrate analytically the field equations. They generalize the ideal gas law based on plausible reasons that real gases do not act ideally. New exact solutions of the Einstein-Maxwell system are generated and the physical variables as the energy density, radial pressure, mass function, anisotropy factor and the metric functions are written in terms of elementary and polynomial functions. We obtained expressions for radial pressure, density and mass of the stellar object physically acceptable with two different values of the adjustable parameter. The proposed models satisfy all physical features of a realistic star.
Highlights
The study of the relation between ultracompacts objects and the gravitational collapse is one of the most fundamental and important factors in astrophysics and has attracted much researchers and scientists due to formulation of the general theory of relativity
The aim of this paper is to generate a new class of anisotropic matter with Van der Waals modified (VDWM) equation of state proposed for Malaver [49] in a static spherically symmetric space-time using a gravitational potential Z(x) which depends on an adjustable parameter α
We have generated a new class of models with a Van der Waals modified equation of state which could describe the behavior of a anisotropic matter distribution in an static spherically symmetric space-time where the gravitational potential Z depends on an adjustable parameter α
Summary
The study of the relation between ultracompacts objects and the gravitational collapse is one of the most fundamental and important factors in astrophysics and has attracted much researchers and scientists due to formulation of the general theory of relativity. One of the most important problems in general theory of relativity is to obtain exact solutions for Einstein field equations [1, 2]. These solutions include many applications in astrophysics, cosmology, string theory and so on [2]. In the construction of the first theoretical models of relativistic stars, some works are important such as Schwarzschild [9], Tolman [10], Oppenheimer and Volkoff
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