Charged anisotropic compact stellar solutions in torsion-trace gravity via modified chaplygin gas model

• Published in: European physical journal plus 2021-10, Vol.136 (10), p.1078, Article 1078
• Main Authors: Saleem, Rabia, Aslam, M. Israr, Zubair, M.
• Format: Article
• Language: English
• Subjects: Applied and Technical Physics; Atomic; Chaplygin gas; Complex Systems; Condensed Matter Physics; Energy; Equations of state; Geometry; Gravity; Magnetic fields; Mathematical and Computational Physics; Mathematical models; Molecular; Optical and Plasma Physics; Parameters; Partial differential equations; Phase transitions; Physical analysis; Physics; Physics and Astronomy; Quarks; Red shift; Regular Article; Relativity; Tensors; Theoretical; Trajectory analysis
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-021-02052-0

In present work, we use an extended f ( T ) gravity namely f ( T , T ) gravity, representing the coupling of torsion scalar T and the trace of energy-momentum tensor T . In this framework, we find the exact interior anisotropic solutions of compact stars considering Krori–Barua space-time under metric potentials, a ( r ) = B r 2 + C r 3 , b ( r ) = A r 3 ( A ,   B ,   C are the unknown parameters), and applying a well-known model f ( T , T ) = α 1 T n ( r ) + β T ( r ) + ϕ , n > 1 . To close the system of equations, we utilize an equation of state for modified Chaplygin gas model. By the well-known matching conditions of exterior and interior space-time, we evaluate the unknown model parameters. For four different strange stars, P S R - J 1614-2230, S A X - J 1808.4-3658, 4 U 1820-30 and V e l a - X -12 (last two are added in “Appendix”), we made complete physical analysis by plotting trajectories for energy conditions, square speed of sound, mass function, compactness factor and surface redshift. It is observed that our results satisfy all the necessary and sufficient physical conditions, hence physically viable.