Existence of traversable wormholes with varied shape functions in f(ℛ2,) gravity.

In this paper, we derive the exact solution of traversable wormholes illustrating spherically symmetric geometry with anisotropic matter distribution entering the throat in the formalism of f (ℛ ,) gravity, where ℛ is Ricci scalar and is trace of energy–momentum tensor. For this purpose, we assume a power law-type generic function f (ℛ ,) = ℛ + γ ℛ 2 + α , where γ and α are being constants, with two different choices of shape functions a (r) = r 0 ( b r b r 0 ) , 0 < a (r) < 1 and a (r) = r 0 (cosh (r 0) cosh (r)) μ , 0 < μ < 1. For each approach, we find the exact solution and studied the existence of wormhole solutions in the presence of exotic and non-exotic matter. The graphical behavior of equation of state (EoS) parameter and energy condition bounds is also investigated for each shape function. The realistic wormhole solutions are obtained for the shape functions which satisfy necessary conditions at the throat radius r = r 0 = 1. Finally, we observe that there is small deviation in the results obtained by General Relativity and f (ℛ 2 ,) gravity. [ABSTRACT FROM AUTHOR]