Thin-shell wormholes with ordinary matter in pure Gauss-Bonnet gravity

Abstract

In this paper, we introduce higher dimensional thin-shell wormholes in pure Gauss-Bonnet gravity. The focus is on thin-shell wormholes constructed by N⩾5-dimensional spherically symmetric vacuum solutions. The results suggest that, under certain conditions, it is possible to have thin-shell wormholes that both satisfy the weak energy condition and be stable against radial perturbations.

A Note on the Stability of Generic Spherically Symmetric Thin-Shell Wormhole Supported by a False Vacuum

“…which after applying (23) and considering (21) it becomes identically zero. Furthermore from ( 29) at a = r c and p c = −σ c one obtains…”

“…The fundamental difference between the wormholes and TSW is that while wormholes are supported by exotic matter that fills the entire spacetime, TSWs are powered by exotic matters that are accumulated at only their throat, and off the throat, everything is as normal as the corresponding bulk spacetime. This should be added that, in analogy with the standard wormholes, here for TSW the surface fluid present on the throat may also be physical in some modified theories of gravity [21][22][23].…”

Stability of thin-shell-wormhole in Robertson-Walker closed universe I: static universe

“…We should add that the traversable wormhole introduced in [3,4] is the direct solution of Einstein's equation in Einstein's -theory of gravity. Recently, there have been traversable wormhole solutions in some modified theories of gravity in which the matters supporting the wormhole solution satisfy the NEC [7][8][9][10][11][12][13][14][15][16][17][18][19]. The mechanism of such modified theories is as follows.…”

Thin-shell wormhole supported by exotic dust in gravity coupled with nonlinear electrodynamics

“…The formalism has been successfully applied to the construction of various TSW in not only Einstein's Rgravity [17][18][19][20][21][22][23][24][25][26][27][28][29][30] (and the references therein) but also in bulk spacetimes solutions in other modified theories of gravity [31][32][33][34][35][36][37] (and the references therein). Among the first papers we should mention the TSW in Schwarzschild bulk spacetime [38] where Poisson and Visser within the Schwarzschild black hole bulk spacetime applied the method of cut-and-paste and constructed the corresponding TSW.…”