Modeling of traversable wormholes in exponential f(R, T) gravity

Abstract

In the present communication, we have studied the existence of wormholes described by a logarithmic shape function, in the exponential f(R, T) gravity given by f(R, T) = R + 2ξeζt where ξ and ζ are arbitrary constants, under three different sets of physical constraints. The logarithmic shape function is well behaved, satisfying all the necessary constraints for traversable and asymptotically flat wormholes. The obtained wormhole solutions are analyzed from the energy conditions for different values of involved physical constants. It has been observed that our proposed shape function for the exponential form of f(R, T) gravity represents the existence of exotic matter with a standard violation of the NEC. Moreover, for the trace T = 0, for the general relativity case with R being replaced by R + 2, the wormhole geometry has been analyzed to prove the existence of exotic matter. Further, the behaviour of physical parameters, such as the energy density ρ, the trace T, and anisotropy parameter Δ, describing the geometry of the universe has been presented with the help of graphs.