Conformal symmetry wormholes and the null energy condition

Abstract

In this paper we seek a relationship between the assumption of conformal symmetry and the exotic matter needed to hold a wormhole open. By starting with a Morris-Thorne wormhole having a constant energy density, it is shown that the conformal factor provides the extra degree of freedom sufficient to account for the exotic matter. The same holds for Morris-Thorne wormholes in a noncommutative-geometry setting. Applied to thin shells, there would exist a radius that results in a wormhole with positive surface density and negative surface pressure and which violates the null energy condition on the thin shell.

9 pages, no figures

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)

• Wormholes in conformal gravity
• Thin-Shell Wormhole Satisfying Energy Conditions
• Minimally deformed wormholes inspired by noncommutative geometry
• Generic spherically symmetric thin-shell wormholes with equilibrium throat at the innermost photonsphere are unstable