Extreme stars in alternative theories of gravity

Abstract

Theories based on the curvature scalar have been extensively studied. However, new upcoming theories have been emerging where instead of the curvature scalar, we base our theories on the torsion of the space-time through the Weitzenbook connection callef f(T). Such a theory, however does not take into account the aspect where the cosmological constant may be a variable, which may depend on the trace of the energy-momentum tensor, T, thus giving rise to the f(T, t) theory of gravity. f (T,T) theory of gravity is a more general form of f(T) theory.