New Casimir wormholes in f(R, T) gravity admitting conformal killing vectors

The present work explores the possibility of Casimir wormhole’s existence in the framework of well-known f(R, T) theory of gravity. For achieving this goal, we consider the spherically symmetric wormhole configuration with anisotropic matter contents and use the idea of conformal killing vectors to find analytical solutions. In order to keep simplicity in calculations, we assume simple linear choice for Lagrangian function given by f(R,T)=R+2χT\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f(R,T)=R+2\chi T$$\end{document}. We investigate the possibility of wormhole construction by taking Casimir energy between two parallel plates and then between two parallel cylinders into account and studied the significance of obtained solutions graphically. It can be seen that in both cases, analytical solution exist and satisfy all essential wormhole properties. Lastly, we compute the GUP-corrected wormhole solution and investigate its viability through the graphs of some basic properties of wormhole. We also discuss the equilibrium condition and volume integral quantifier for these obtained wormhole solutions. It is found that the presented solutions are physically promising and stable.