Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-07-19
Phys.Rev.Lett.106:101302,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages; v3: version accepted by Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.106.101302
We extend the usual gravitational action principle by promoting the bare cosmological constant (CC) from a parameter to a field which can take many possible values. Variation leads to a new integral constraint equation which determines the classical value of the effective CC that dominates the wave function of the universe. In a realistic cosmological model, the expected value of the effective CC, is calculated from measurable quantities to be O(t_U), as observed, where t_U is the present age of the universe in Planck units,. Any application of our model produces a falsifiable prediction for $\Lambda $ in terms of other measurable quantities. This leads to a specific falsifiable prediction for the observed spatial curvature parameter of Omega_k0=-0.0055. Our testable proposal requires no fine tunings or extra dark-energy fields but does suggest a new view of time and cosmological evolution.
Barrow John D.
Shaw Douglas J.
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