In the present study, we mainly focus on the idea of possibility that the whole dark part of the universe (dark energy, dark matter, dark radiation) could be interpreted by considering both curvature and torsion. We introduce a new modified theory of gravity. In this theory, the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar R and the torsion scalar T. After deriving the corresponding field equations, we will analyze f(T, R)-gravity in the strong field regime and test whether it could be a viable theory of reality. We check the existence of the relativistic neutron stars in f(T,R)-gravity.
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