Geometrical Constraints on the Cosmological Constant

Details Geometrical Constraints on the Cosmological Constant Geometrical Constraints on the Cosmological Constant

1994-01-07

arxiv.org/abs/gr-qc/9401005v1

Phys.Rev.D50:7233-7238,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Marcos@FNALV.FNAL.GOV, 17 pages, Latex, 2 figures obtained by request

Scientific paper

10.1103/PhysRevD.50.7233

The cosmological constant problem is examined under the assumption that the extrinsic curvature of the space-time contributes to the vacuum. A compensation mechanism based on a variable cosmological term is proposed. Under a suitable hypothesis on the behavior of the extrinsic curvature, we find that an initially large $\Lambda(t)$ rolls down rapidly to zero during the early stages of the universe. Using perturbation analysis, it is shown that such vacuum behaves essentially as a spin-2 field which is independent of the metric.

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