Gravity's Rainbow and Traversable Wormholes

TL;DR

This paper explores how Gravity's Rainbow modifies the quantum corrections to traversable wormholes by calculating the graviton one-loop contribution without traditional regularization, using a variational approach with Gaussian wave functionals.

Contribution

It introduces a novel method of handling divergences in quantum gravity calculations through Gravity's Rainbow distortions instead of regularization.

Findings

Gravity's Rainbow affects graviton one-loop contributions

Divergences are managed via Rainbow-induced distortions

Potential implications for wormhole stability and quantum gravity

Abstract

In the context of Gravity's Rainbow, we compute the graviton one-loop contribution to a classical energy in a traversable wormhole background, by considering the equation of state $p_{r} = \omega\rho$. The investigation is evaluated by means of a variational approach with Gaussian trial wave functionals. However, instead of using a regularization/renormalization process, we use the distortion induced by Gravity's Rainbow to handle the divergences.