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arXiv · 1301.0200

Finite Zero Point Gravitational Energy in the context of Modified Dispersion Relations

Remo Garattini·Gianluca Mandanici
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Abstract

We compute the Zero Point Energy in a spherically symmetric background distorted at high energy as predicted by Gravity's Rainbow. In this context we setup a Sturm-Liouville problem with the cosmological constant considered as the associated eigenvalue. The eigenvalue equation is a reformulation of the Wheeler-DeWitt equation. We find that the ordinary divergences can here be handled by an appropriate choice of the rainbow's functions, in contrast to what happens in other conventional approaches.

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Remo Garattini, Gianluca Mandanici. 2013-01-02. Finite Zero Point Gravitational Energy in the context of Modified Dispersion Relations. https://arxiv.org/abs/1301.0200

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