Abstract

In this work, we get an idea of the existence of compact stars in the background of f(T) modified gravity where T is a scalar torsion. We acquire the equations of motion using anisotropic property within the spherically compact star with electromagnetic field, quintessence field and modified Chaplygin gas in the framework of modified f(T) gravity. Then by matching condition, we derive the unknown constants of our model to obtain many physical quantities to give a sketch of its nature and also study anisotropic behavior, energy conditions and stability. Finally, we estimate the numerical values of mass, surface redshift etc from our model to compare with the observational data for different types of compact stars.

Highlights

  • We have come to know from many observational evidences like Large Scale Structure (LSS), Cosmic Microwave Background (CMB) radiation etc. that our universe is expanding with acceleration which asserts that the cosmic expansion is going due to some peculiar source of energy having a massive negative pressure, known as Dark Energy (DE)

  • These energy conditions are divided into three parts: Null Energy Condition (NEC), Weak Energy Condition (WEC) and Strong Energy Condition (SEC)

  • This work has given out the quintessence dark energy behavior of the anisotropic compact star model in f (T ) gravity with modified Chaplygin gas consisting of ordinary matter

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Summary

Matching conditions

Many researchers have compared the exterior solution with the interior solution [24,58,60,62]. We make correspondence between our interior solution and the exterior solution evoked by Reissner-Nordstrm metric whose line element is ds. We assume the boundary of interior and exterior regions occurs at r =R. Where − and + indicate to interior and exterior solutions.

Physical analysis
Anisotropic effects
Energy conditions
Stability analysis
Effective mass and compactness
Surface redshift
Conclusions
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