The value of the cosmological constant
Abstract
We make the cosmological constant, Λ, into a field and restrict the variations of the action with respect to it by causality. This creates an additional Einstein constraint equation. It restricts the solutions of the standard Einstein equations and is the requirement that the cosmological wave function possess a classical limit. When applied to the Friedmann metric it requires that the cosmological constant measured today, t _{ U }, be {Λ ∼ t_{U}^{2} ∼ 10^{122}} , as observed. This is the classical value of Λ that dominates the wave function of the universe. Our new field equation determines Λ in terms of other astronomically measurable quantities. Specifically, it predicts that the spatial curvature parameter of the universe is {Ω _{k0} ≡ k/a_{0}^{2}H^{2}=0.0055} , which will be tested by Planck Satellite data. Our theory also creates a new picture of selfconsistent quantum cosmological history.
 Publication:

General Relativity and Gravitation
 Pub Date:
 October 2011
 DOI:
 10.1007/s1071401111991
 arXiv:
 arXiv:1105.3105
 Bibcode:
 2011GReGr..43.2555B
 Keywords:

 Cosmology;
 Cosmological constant;
 Dark energy;
 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 High Energy Physics  Theory
 EPrint:
 6 pages. This article received Third Prize in the 2011 Gravity Research Foundation Awards for Essays on Gravitation