Asymmetric thin-shell wormholes

Abstract

Spacetime wormholes in isotropic spacetimes are represented traditionally by embedding diagrams which were symmetric paraboloids. This mirror symmetry, however, can be broken by considering different sources on different sides of the throat. This gives rise to an asymmetric thin-shell wormhole, whose stability is studied here in the framework of the linear stability analysis. Having constructed a general formulation, using a variable equation of state and related junction conditions, the results are tested for some examples of diverse geometries such as the cosmic string, Schwarzschild, Reissner-Nordström and Minkowski spacetimes. Based on our chosen spacetimes as examples, our finding suggests that symmetry is an important factor to make a wormhole more stable. Furthermore, the parameter γ, which corresponds to the radius dependency of the pressure on the wormholes's throat, can affect the stability in a great extent.

Structure and stability of traversable thin-shell wormholes in Palatini f(R) gravity

“…17is satisfied. Such a kind of asymmetric thin-shell wormholes has been recently explored in the literature [52]. Interestingly, in such solutions a novel shadow may emerge, related to the existence of different photon spheres on each side, such that an observer on the side of the wormhole with lower mass would see, in addition to the images of its own photon sphere, also those photons bouncing back from the photon sphere on the other side across the shell [53,54].…”

Stability of charged thin-shell gravastars with quintessence

“…1. These values of physical parameters have frequently been used in literature that examine the stable as well as dynamical behavior of thin-shell constructed from different singular and non-singular BHs [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]. Thus we use them to determine the effects of charge and mass on the energy conditions, physical features as well as stability of thin-shell gravastars (see Appendix A).…”

“…Sharif and Waseem [20] discussed charged gravastars with conformal motion in f (R, T ) gravity. There is a large body of literature [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40] that explore the stable as well as dynamical configuration of thin-shell wormholes constructed from the matching various BHs with different EoS.…”

Thin-shell wormhole satisfying energy conditions

“…Note that the TSW in this fashion will be symmetric. An asymmetric TSW [14], however, could be constructed by specifying different cosmological constants to the two sides, i.e. Λ + = Λ − .…”