Modelling of a compact anisotropic star as an anisotropic fluid sphere in f(T) gravity

• Published in: Canadian journal of physics Vol. 96; no. 12; pp. 1295 - 1303
• Main Authors: Momeni, D, Abbas, G, Qaisar, S, Zaz, Zaid, Myrzakulov, R
• Format: Journal Article
• Language: English
• Published: Ottawa NRC Research Press 01.12.2018; Canadian Science Publishing NRC Research Press
• Subjects: Anisotropic fluids; Anisotropy; compact stars; extended models of gravity; f(T) gravity; Gravitation; Gravity (Force); gravité f(T); Mathematical models; modèles étendus de la gravité; Physical properties; Properties; Red shift; singularity-free solutions; solutions sans singularité; Spheres (Geometry); stability of stellar objects; stabilité des objets stellaires; Stars; étoiles compactes
• ISSN: 0008-4204; 1208-6045
• DOI: 10.1139/cjp-2017-0579

In this article, the authors have discussed a new exact model of anisotropic stars in the f(T) theory of gravity. A parametric form of the metric functions has been implemented to solve the dynamical equations in f(T) theory with the anisotropic fluid. The novelty of the work is that the obtained solutions do not contain singularity but are potentially stable. The estimated values for mass and radius of the different strange stars, RX J 1856–37, Her X-1, and Vela X-12, have been utilized to find the values of unknown constants in Krori and Barua metrics. The physical parameters like anisotropy, stability, and redshift of the stars have been examined in detail.