Nonperturbative quantum gravity effects: an Euclidezation of spacetime

Details Nonperturbative quantum gravity effects: an Euclidezation of spacetime Nonperturbative quantum gravity effects: an Euclidezation of spacetime

2012-04-03

arxiv.org/abs/1204.0628v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages. arXiv admin note: text overlap with arXiv:1201.1069

Scientific paper

Heisenberg's nonperturbative quantization technique is applied for the nonpertrubative quantization of gravity. An infinite equations set for all green functions is obtained. An approximation is considered where: (a) the metric remains as a classical field; (b) the affine connection can be decomposed on a classical and quantum parts; (c) the classical part of the affine connection is Christoffel symbols; (d) the quantum part is a torsion. Using a scalar and vector fields approximation it is shown that nonperturbative quantum effects gives rise to a cosmological constant and an Euclidezation of the spacetime. The Euclidezation can be considered as the cancellation of a cosmological singularity.

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