  In this article, we apply the Finsler spacetime to develop the Einstein field
equations in the extension of modified geometry. Following Finsler geometry,
which is focused on the tangent bundle with a scalar function, a scalar
equation should be the field equation that defines this structure. This
spacetime maintains the required causality properties on the generalized
Lorentzian metric manifold. The matter field is coupled with the Finsler
geometry to produce the complete action. In this work, we use modified gravity
to develop the Einstein field equations from the variational principle.
Developed Einstein field equations are employed on the strange stellar system
to improve the study. The interior of the system is made of a strange quark,
maintained by the MIT Bag equation of state. In addition, the modified
Tolman-Oppenheimer-Volkov (TOV) equation is formulated. In particular, the
anisotropic stress attains the maximum at the surface. The mass-central density
variation justifies the stability of the system.
