Fate of a thin-shell wormhole powered by Morris-Thorne wormhole

Abstract

Asymmetric thin-shell wormholes from two traversable Morris-Thorne wormhole spacetimes, with identical shape but different redshift functions, are constructed. Energy density of the thin-shell wormhole derives its power from a Morris-Thorne wormhole which is already exotic. By choice, the weak energy condition for the thin-shell wormhole is satisfied. A linear barotropic equation of state is assumed to hold after the radial perturbations. The fate of our thin-shell wormhole, after the perturbation, is striking: the asymmetric thin-shell wormhole is destined either to collapse to the original Morris-Thorne wormhole or expand indefinitely along with the radius of the throat. In case it collapses to the original wormhole, the result is an asymmetric Morris-Thorne wormhole. Although this asymmetry does not reflect into the embedding diagram of the wormhole, passing across the throat, the wormhole adventurer feels a different redshift function.

Twin Peak Quasi‐Periodic Oscillations and Stability via Thin‐Shell Formalism of Traversable Wormholes in Symmetric Teleparallel Gravity

“…Forghani et al. [ 53 ] formulated asymmetric thin‐shell from two traversable WHs with different redshift functions by assuming barotropic EoS. They analyzed that either thin‐shell collapses to the original wormhole or expands along shell's radius.…”

“…Garcia et al [52] investigated stability of thin-shell established from the wormhole geometries using cut and paste procedure and found that exotic matter has significant effects on stable configuration. Forghani et al [53] formulated asymmetric thin-shell from two traversable WHs with different redshift functions by assuming barotropic EoS. They analyzed that either thin-shell collapses to the original wormhole or expands along shell's radius.…”

Discontinuity problem in the linear stability analysis of thin-shell wormholes

“…Note that, the coordinates of the two sides of the throat x µ ± , and more generally, the very nature of the two spacetimes does not necessarily need to be the same. Although most of the authors have been tending to consider same spacetimes as the side manifolds, recently such a mirror symmetry was broken in some studies [19][20][21] to introduce ATSWs.…”

A comparative study of new generic wormhole models with stability analysis via thin-shell

“…Using a cut-and-paste method, Garcia et al [52] studied the stability of thin-shell structures derived from WH geometries and discovered that exotic matter significantly affects stable configuration. By assuming barotropic EoS, Forghani et al [53] developed an asymmetric thin-shell from two traversable WHs with various redshift functions. By merging a traversable WH with standard BHs (Bardeen and Hayward BHs), Sharif and Ashraf [54] created athin-shell structure and studied its stability as well as dynamics.…”