A noncommutative approach to the cosmological constant problem

Details A noncommutative approach to the cosmological constant problem A noncommutative approach to the cosmological constant problem

2010-06-28

arxiv.org/abs/1006.5418v2

Phys.Rev.D83:064021,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure, version matching that published on PRD

Scientific paper

10.1103/PhysRevD.83.064021

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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