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Self sustained traversable wormholes and the equation of state

Remo Garattini
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Abstract

We compute the graviton one loop contribution to a classical energy in a \textit{traversable} wormhole background. The form of the shape function considered is obtained by the equation of state $p=ωρ$. We investigate the size of the wormhole as a function of the parameter $ω$. 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. A renormalization procedure is introduced and the finite one loop energy is considered as a \textit{self-consistent} source for the traversable wormhole.The case of the phantom region is briefly discussed.

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Remo Garattini. 2007-01-02. Self sustained traversable wormholes and the equation of state. https://doi.org/10.1088/0264-9381%2F24%2F5%2F009

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