Preprint Article Version 1 This version is not peer-reviewed

Dark Energy Stars with Quadratic Equation of State

Version 1 : Received: 8 December 2019 / Approved: 10 December 2019 / Online: 10 December 2019 (04:42:44 CET)

How to cite: Malaver, M.; Kasmaei, H. Dark Energy Stars with Quadratic Equation of State. Preprints 2019, 2019120125 (doi: 10.20944/preprints201912.0125.v1). Malaver, M.; Kasmaei, H. Dark Energy Stars with Quadratic Equation of State. Preprints 2019, 2019120125 (doi: 10.20944/preprints201912.0125.v1).

Abstract

Recent astronomical observations with respect to measurements in distant supernovas, cosmic microwave background and weak gravitational lensing confirm that the Universe is undergoing a phase of accelerated expansion and it has been proposed that this cosmological behavior is caused by a hypothetical dark energy which has a strong negative pressure that allows explain the expanding universe. Several theoretical ideas and models related dark the energy includes the cosmological constant, quintessence, Chaplygin gas, braneworld and tachyonic scalar fields. In this paper, we have obtained new relativistic stellar configurations considering an anisotropic fluid distribution with a charge distribution which could represents a potential model of a dark energy star. In order to investigate the effect of a quadratic equation of state in this anisotropic model we specify particular forms for the gravitational potential that allow solving the Einstein-Maxwell field equations. For these new solutions we checked that the radial pressure, metric coefficients, energy density, anisotropy factor, charge density , mass function are well defined and are regular in the interior of the star. The solutions found can be used in the development of dark energy stars models satisfying all physical acceptability conditions but the causality condition and strong energy condition are violated. We expect that these models have multiple applications in astrophysics and cosmology.

Subject Areas

dark energy; stellar configurations; anisotropic fluid distribution; quadratic equation of state; Einstein-Maxwell field equations; metric coefficients

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