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arXiv · 1006.5418

A noncommutative approach to the cosmological constant problem

Remo Garattini·Piero Nicolini
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Abstract

In this paper we study the cosmological constant emerging from the Wheeler-DeWitt equation as an eigenvalue of the related Sturm-Liouville problem. We employ Gaussian trial functionals and we perform a mode decomposition to extract the transverse-traceless component, namely, the graviton contribution, at one loop. We implement a noncommutative-geometry- induced minimal length to calculate the number of graviton modes. As a result, we find regular graviton fluctuation energies for the Schwarzschild, de Sitter, and anti-de Sitter backgrounds. No renormalization scheme is necessary to remove infinities, in contrast to what happens in conventional approaches.

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Remo Garattini, Piero Nicolini. 2010-06-28. A noncommutative approach to the cosmological constant problem. https://doi.org/10.1103/physrevd.83.064021

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