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

S Habib Mazharimousavi,M Halilsoy

doi:10.1140/epjc/s10052-014-3073-2

Abstract

The role of angular momentum in a 2+1-dimensional rotating thin-shell wormhole (TSW) is considered. Particular emphasis is made on stability when the shells (rings) are counterrotating. We find that counter-rotating halves make the TSW supported by the equation of state of a linear gas more stable. Under a small velocity dependent perturbation, however, it becomes unstable.

Highlights

In our analysis of thin-shell wormhole (TSW) we observe that the off-diagonal components of the extrinsic curvature tensor ki j and related components of the surface energy-momentum at the throat Si j vanish in the case that we assume counter-rotating components of shells at the throat
For instance, a linear gas (LG) equation of state (EoS) at the junction in which the pressure is linearly related to the mass density
The effect of the rotation on the geometry, remains intact as it depends on the square of the angular momentum (J2)

Summary

Introduction

In our analysis of TSWs we observe that the off-diagonal components of the extrinsic curvature tensor ki j and related components of the surface energy-momentum at the throat Si j vanish in the case that we assume counter-rotating components of shells at the throat. Counter-rotation at the throat in the case of TSWs allows us to choose a simpler surface energy-momentum tensor and study the stability condition. For instance, a linear gas (LG) equation of state (EoS) at the junction in which the pressure is linearly related to the mass density. For such a LG the counter-rotating components make the TSW more stable.

Rotating thin-shell wormhole

Angular momentum and stability

Linear gas

Conclusion