Rotating thin-shell wormhole from glued Kerr spacetimes

Abstract

We construct a model of a rotating wormhole made by cutting and pasting two Kerr spacetimes. As a result, we obtain a rotating thin-shell wormhole with exotic matter at the throat. Two candidates for the exotic matter are considered: (i) a perfect fluid; (ii) an anisotropic fluid. We show that a perfect fluid is unable to support a rotating thin-shall wormhole. On the contrary, the anisotropic fluid with the negative energy density can be a source for such a geometry.

Effect of the Gauss-Bonnet parameter in the stability of thin-shell wormholes

“…We plug the latter expression into the conservation energy equation (20) to find a closed form for the dynamic tension on the thin shell after perturbation as follows: …”

“…In Ref. [20], a rotating TSW in Kerr spacetime was found, and a TSW in Brans-Dicke theory and its stability were investigated in Ref. [21].…”

Rotating thin-shell wormhole

“…Calculations in rotating spacetimes are clearly difficult to apply to stability analyses of wormholes. Moreover, there are only a few works on the rotating thin-shell wormholes (RTSWs) built in 2+1 dimensions and in 3+1 dimensions with some approximations [4,5]. On the other hand, there are many papers demonstrating the construction of thin-shell wormholes using different modified theories or extra/lower dimensions [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Counter-rotational effects on stability of $$2+1$$ 2 + 1 -dimensional thin-shell wormholes

“…The metric function contains the square of the angular momentum J 2 , which does not distinguish the cases of ±J for angular momentum. We recall that rotating TSWs constructed from a Kerr black hole in 3 + 1 dimensions have been considered in [36] and their geodesics have been analyzed in [37]. Also rotational effects for collapsing thin shells in 2 + 1 and 4 + 1 dimensions have been considered in detail in [38,39], respectively.…”