Self Sustained Traversable Phantom Wormholes and Gravity's Rainbow

TL;DR

This paper explores how Gravity's Rainbow influences the formation of self-sustained traversable wormholes, revealing potential configurations driven by quantum fluctuations, with size dependence on the equation of state parameter in the phantom regime.

Contribution

It introduces a novel analysis of traversable wormholes within Gravity's Rainbow framework, considering quantum fluctuations and specific equations of state.

Findings

Wormholes can be theoretically traversable but not practically.

Wormhole size varies with the equation of state parameter  in the phantom region.

Self-sustained wormhole solutions are possible under certain conditions.

Abstract

We consider the effects of Gravity's Rainbow on the self-sustained equation which is responsible to find new traversable wormholes configurations powered by their own gravitational quantum fluctuations. The form of the shape function considered is obtained by imposing the equation of state $p_{r}=\omega \rho $. We investigate the size of the wormhole as a function of the parameter $\omega$ in the phantom region. We discover that a wormhole which is traversable in principle, but not in practice, can be produced.