Self-sustained traversable wormholes in noncommutative geometry

TL;DR

This paper constructs exact traversable wormhole solutions within noncommutative geometry, analyzing their physical properties and quantum fluctuation effects, and demonstrates the viability of these solutions through a semi-classical approach.

Contribution

It introduces new exact wormhole solutions in noncommutative geometry considering quantum backreaction effects, advancing understanding of quantum-gravity-inspired traversable wormholes.

Findings

Existence of self-sustained traversable wormholes with smeared energy density.

Validation of semi-classical solutions through quantum fluctuation analysis.

Parameter ranges where solutions are physically consistent.

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.