Abstract
In this work an analytic fluid sphere built on the well-known Tolman IV space–time is obtained. This toy model is sourced by an imperfect fluid distribution with a dark matter component. The anisotropic behavior is introduced into the system via gravitational decoupling by means of minimal geometric deformation. In this regard, the temporal component of the theta -sector has been interpreted as the dark side of the matter distribution. To validate the feasibility of the salient model a detailed graphical analysis is performed, supported by real observational data corresponding to some strange star candidates. Besides, the impacts of minimal geometric deformation approach on the main macro physical observables ı.e, the total mass M, compactness factor u and surface gravitational red-shift z_{s} are discussed.
Highlights
Ratio for different dark matter (DM) profiles was investigated in [10] and the influences by spin polarized self-interacting DM have been explored by using a polytropic equation of state to build the structure of neutron stars [11,12]
The inclusion of an anisotropic behaviour into the matter distribution driven collapsed structures such as neutron or quark stars, entails an intriguing and interesting features, for example: i) allows to build more compact structures, ii) the hydrostatic balance is enhanced by the introduction of a new term, that helps to counteract the gravitational collapse onto a point singularity, iii) the stability is improved and iv) the gravitational surface red-shift zs reaches greater values than its isotropic counterpart
As we shall review this methodology contains two main ingredients: i) two sources Tμν and θμν, which only interact gravitationally and ii) a minimal geometric deformation introduced in the grr component of the metric, which allows to decouple the system into two set of equations, one for each source
Summary
In a more widely context, since the pioneering work by Bowers and Liang [16], the understanding of how this type of structure works has been extensively explored. It is worth mentioning that in many applications of the GD, Tμν is the source of a well known isotropic interior solution, so the effect of θμν is to introduce a local anisotropy behaviour in the system and it is said that GD leads to an extension of isotropic solutions to anisotropic scenarios In this case, either the geometric deformation and the components of θμν field remain unknown and the main goal is to provide suitable extra constraints which allow to find them. In this respect was argued in [77,104] the possibility of interpreting the new field θμν as dark matter, what is more in [96] were explored the contributions of this new sector in the well-known CDM and ΛCDM cosmological models Based on this good antecedents, the main motivation of the present work, is to investigate the existence of dark stars within the framework of GR by using GD technology.
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