Gravity's Rainbow and Traversable Wormholes

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.