Self-sustained traversable wormholes in noncommutative geometry

Abstract

In this work, we find exact wormhole solutions in the context of noncommutative geometry, and further explore their physical properties and characteristics. The energy density of these wormhole geometries is a smeared and particle-like gravitational source, where the mass is diffused throughout a region of linear dimension $\sqrt{\alpha }$ due to the intrinsic uncertainty encoded in the coordinate commutator. Furthermore, we also analyze these wormhole geometries considering that the equation governing quantum fluctuations behaves as a backreaction equation. In particular, the energy density of the graviton one loop contribution to a classical energy in a traversable wormhole background and the finite one loop energy density is considered as a self-consistent source for these wormhole geometries. Interesting solutions are found for an appropriate range of the parameters, validating the perturbative computation introduced in this semi-classical approach.

8 pages, 4 figures. Final version to appear in PLB. References added and one figure

References in corpus (10)

• Noncommutative Black Hole Thermodynamics
• Brans-Dicke wormholes in the Jordan and Einstein frames
• A general class of braneworld wormholes
• General class of wormhole geometries in conformal Weyl gravity
• Self sustained phantom wormholes in semi-classical gravity
• Phantom stars and topology change
• Conformally symmetric traversable wormholes
• Wormhole geometries with conformal motions
• Black hole evaporation in a spherically symmetric non-commutative space-time
• Self sustained traversable wormholes and the equation of state

Cited by in corpus (1)

• Thin accretion disks in stationary axisymmetric wormhole spacetimes