Casimir Energy - A Fuel for Traversable Wormholes

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R. Garattini (2008), JBIS, 61, 370-372

Refcode: 2008.61.370
Keywords: Casimir energy, quantum gravity, wormhole

We compute the graviton one loop contribution to a classical energy in a traversable wormhole background. The form of the shape function considered is obtained by the equation of state p =. We investigate the size of the wormhole as a function of the parameter . The investigation is evaluated by means of a variational approach with Gaussian trial wave functionals. A zeta function regularization is involved to handle with divergences. The regularization is closely related to the subtraction procedure appearing in the computation of Casimir energy in a curved background. A renormalization procedure is introduced and the finite one loop energy is considered as a self-consistent source for the traversable wormhole. The case of the phantom region is briefly discussed.

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