Self-sustained traversable wormholes in modified gravity theories

TL;DR

This paper explores the theoretical possibility that quantum fluctuations, influenced by noncommutative geometry and Gravity's Rainbow models, can sustain traversable wormholes without external matter, using semi-classical analysis of graviton one-loop effects.

Contribution

It introduces a novel semi-classical framework where quantum graviton fluctuations serve as the self-sustaining energy source for traversable wormholes within modified gravity models.

Findings

Quantum fluctuations can support wormhole geometries.

Noncommutative geometry influences the energy density distribution.

Gravity's Rainbow modifies the conditions for wormhole stability.

Abstract

We consider the possibility that wormhole geometries are sustained by their own quantum fluctuations, in the context of noncommutative geometry and Gravity's Rainbow models. More specifically, the energy density of the graviton one-loop contribution to a classical energy in a wormhole background is considered as a self-consistent source for wormholes. In this semi-classical context, we consider the effects of a smeared particle-like source in noncommutative geometry and of the Rainbow's functions in sustaining wormhole geometries.