Compact Stars of Emending Class One in f(T) Gravity

In this paper, we study the spherically symmetric anisotropic compact stars of emending class one in f(T) (where T being the torsion of the spacetime) gravity. For this purpose, we have used a particular form of the metric functions to solve the modified equation of motion in f(T) gravity for static anisotropic fluid source. The constructed models represent the class of anisotropic stars like SAXJ1808.4-3658(SS1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$SAX J 1808.4-3658 (SS1)$$\end{document}, HerX-1,VelaX-12,PSRJ1614-2230\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Her X - 1, Vela X-12, PSR J1614-2230$$\end{document} and CenX-3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$Cen X -3$$\end{document}. We have calculated the physical parameters of the stars such as pressure, density, regularity and anisotropy. We have also discussed the stability of formulated models and proved that in f(T) theory of gravity (with diagonal tetrad) these models of the stars are unstable.