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2010

A noncommutative approach to the cosmological constant problem

Garattini, Remo, Nicolini, Piero

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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.

A noncommutative approach to the cosmological constant problem · Around

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