Some specific wormhole solutions in f(R, T) gravity

Abstract

Abstract In this research, we considered a specific model in the framework of f(R, T) gravity to investigate the feasibility of wormhole geometries coupled with the relativistic configurations of matter, where T stands for the trace of the energy-momentum tensor. In order to evaluate this, we examine different energy conditions (ECs) by considering static space-time geometry which is spherically symmetric and by supposing a specific matter configuration and sequence of shape functions (β(r)). We analyzed wormhole models in the background of the equilibrium state by using an anisotropic fluid, and then presented our findings in a graphical format. The quantities of extra curvature generated by f(R, T) gravity could be understood as a gravitational entity that supports these astrophysical wormhole scenarios, which are non-standard. Our results suggest that, for certain zones in the parameters space, wormholes could arise in the presence of isotropic fluid and a conservative modification of GR as f ( R , T ) = R + α γ 1 + R 2 γ 2 − q − 1 + λ T , without requiring exotic matter.