Construction of thin-shell wormhole models in the geometric representation of [formula omitted](ℛ,[formula omitted]) gravity

Abstract

The “cut and paste” approach is applied to construct static thin-shell wormhole models for f(R,T)=R+ηR2+β4R+λT, where η,β,λ are arbitrary constants and R is the Ricci scalar, as well as T, stand for the trace of the stress–energy tensor of the matter fields. We use matching conditions of the theory in geometric representation in an attempt to connect two space–times across separation hypersurface Σ. Firstly, we discuss the junction conditions for the considered specific form of f(R,T) function using distribution formalism. We assume isotropic perfect fluid and the polytropic equation of state which supports the exotic matter at the throat of the shell. We study distinct components of the Lanczos equation in the context of considered gravity model and the equation of state by employing symmetry-preserving radial perturbation. The widest possible ranges of parametric values and the influence of mass are explored to check the stability and instability of static wormhole models. This is defined via 2nd derivative of potential at throat radius and acquired constraint equation in the background of f(R,T) gravity. We examine the stable and unstable behavior of constructed wormhole solutions via theoretical and graphical approaches.