Stable wormholes on a noncommutative-geometry background admitting a one-parameter group of conformal motions

Abstract

When Morris and Thorne first proposed the possible existence of traversable wormholes, they adopted the following strategy: maintain complete control over the geometry, thereby leaving open the determination of the stress-energy tensor. In this paper we determine this tensor by starting with a noncommutative-geometry background and assuming that the static and spherically symmetric spacetime admits conformal motions. This had been established in a previous collaboration with Rahaman et al. using a slightly different approach. Accordingly, the main purpose of this paper is to show that the wormhole obtained can be made stable to linearized radial perturbations.

12 pages, 1 figure

References in corpus (5)

• Hawking Radiation as Quantum Tunneling from Noncommutative Schwarzschild Black Hole
• Conformally symmetric traversable wormholes
• Wormhole geometries with conformal motions
• Macroscopic traversable wormholes with zero tidal forces inspired by noncommutative geometry
• Revisiting galactic rotation curves given a noncommutative-geometry background

Cited by in corpus (4)

• Linear stability analysis of a rotating thin-shell wormhole
• Existence of Wormholes in $f(\mathcal{G})$ Gravity using Symmetries
• Conformally symmetric wormhole solutions supported by non-commutative geometry in $f(Q,T)$ gravity
• Minimally deformed wormholes inspired by noncommutative geometry