Muhammad Israr AslamFA19-RMT-095LHR TP 7355Dr. Rabia Saleem2026-03-162021https://repository.cuilahore.edu.pk/handle/123456789/2845In this thesis, we use an extended f(T) gravity namely f (T, T ) gravity, rep- resenting 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) = Br2 + Cr3, b(r) = Ar3 (A, B, C are the unknown parameters), and ap- plying a well-known model f(T, T ) = α1Tn(r) + βT (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, SAX􀀀J 1808.4-3658, 4U 1820-30, V ela􀀀X-12 and PSR􀀀J1614-2230, 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. ixenDr. Rabia Saleemfa19Department of MathematicsMathematicsgravity namely f (TT )Thesis