Cylindrical wormholes and electromagnetic field

Abstract

In this manuscript, we study the construction of static cylindrically symmetric thin shell wormhole models with an electric charge in the background of f(R,T) gravity. We utilized “cut and paste” technique to match two identical spacetimes across the separation hypersurface Σ. In this gravity, f is a generic function of the Ricci scalar (R) and the trace of the stress-energy tensor (T), as the gravitational sources. We continue our systematic investigation by using specific f(R,T) model with quadratic corrections in R. In this scenario, we assume that the isotropic perfect fluid adequately represents the matter sector, implying that matter at the shell is sustained by generalized Chaplygin gas. Using generalized Chaplygin gas, to ensure a consistent matching of the two spacetimes across the separation hypersurface Σ, suitable boundary conditions and constraints are imposed. These conditions guarantee the continuity of the metric coefficients, the electric charge distribution, and other relevant quantities at the thin shell within the framework of the quadratic f(R,T) gravity. The effects of mass, equation of state parameters, and electric charge are examined on the stability of static wormhole models for the widest possible range of model parameters. The positive value of the second derivative of potential at throat radius is used to characterize the stability requirement which is indicated via plots. We study the presence of charge which might affect the stability region of constructed wormhole. It is suggested that a charged wormhole model might be more stable than an uncharged one.