Abstract
In this paper, we have obtained a relativistic and spherically symmetric stellar configuration that describes an anisotropic fluid with a charge distribution that represents a potential model for a dark energy star and we specify particular forms in the gravitational potential and the electric field intensity which allows solve the Einstein-Maxwell field equations. The reason for proposing this model originates from the evidence that recent observational findings suggest that the universe has an accelerated cosmic expansion and the model of dark energy star is one of the most reasonable explanations of this phenomena. The field equations are integrated analytical and new stellar configurations are obtained are analyzed. For each these solutions we found that the radial pressure, the anisotropy factor, energy density, metric coefficients, mass function, charge density are regular and well behaved in the stellar interior. With the new solutions can be developed models of dark energy stars physically acceptable where the causality condition is not satisfied or the strong energy condition is violated. This model has a great application in the study of the fundamental theories of physics and cosmology. Several independent observations indicate that the greater part of the total energy density of the universe is in the form of dark energy and the rest in the form of nonbaryonic cold dark matter particles, but which have never been detected.
Highlights
Recent astrophysical observations have confirmed that the Universe shows an accelerated cosmic expansion [1]
It is proposed that this cosmological behavior is caused by a hypothetical dark energy, a cosmic fluid parameterized by an equation of state ω = p/ρ < -1/3 where p is the spatially homogeneous pressure and ρ the dark energy density [1,2,3,4]
In order for a solution to be physically acceptable and viable must satisfy the following physical properties [4, 15, 37]: (i) The energy density must be well defined, must be positive and a decreasing function of the radial pressure (ii) The radial pressure must decrease as the radius increases and it must vanish at the surface of the sphere but for negative pressure this condition is not satisfied
Summary
Recent astrophysical observations have confirmed that the Universe shows an accelerated cosmic expansion [1]. Chan et al [15] propose that the mass function is a natural consequence of the Einsteins field equations and considered a core with a homogeneous energy density, described by the Lobos first solution [3]. Bibi et al [4] obtained a new class of solutions of the Einstein-Maxwell field equations which represents a model for dark energy stars with the equation of state pr=-ρ. Following Bibi et al [4], in this paper we obtain a new class of solutions of the fields equations that represents a model of dark energy stars whose equation of state is pr = ωρ using a specify forms for the gravitational potential and the electric field intensity.
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