Cylindrical Thin-shell Wormholes in $f(R)$ gravity

Abstract

In this paper, we employ cut and paste scheme to construct thin-shell wormhole of a charged black string with $f(R)$ terms. We consider $f(R)$ model as an exotic matter source at wormhole throat. The stability of the respective solutions are analyzed under radial perturbations in the context of $R+\delta R^2$ model. It is concluded that both stable as well as unstable solutions do exist for different values of $\delta$. In the limit $\delta \to 0$, all our results reduce to general relativity.

20 pages, 4 figures

References in corpus (10)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Stability of Chaplygin gas thin-shell wormholes
• Cylindrical thin-shell wormholes
• Wormhole throats in $R^m$ gravity
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• $f(R)$ gravity constrained by PPN parameters and stochastic background of gravitational waves
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• Thin Shell Wormhole in Heterotic String Theory

Cited by in corpus (1)

• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity