Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-11-04
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, 2 figures, 1 table
Scientific paper
A new apoproach to solving two of the cosmological constant problems (CCPs) is proposed by introducing the Abbott-Deser (AD) method for defining global energy and Killing charges in asymptotic de Sitter space as the only consistent means for defining the ground-state vacuum for the CCP. That granted, Einstein gravity will also need to be modified at short-distance scales, using instead a nonminimally coupled scalar-tensor theory of gravitation that provides for the existence of QCD's two-phase vacuum having two different zero-point energy states as a function of temperature. Einstein gravity alone cannot accomplish this. The scalar field will be taken from bag theory in hadron physics. A small graviton mass $m_g\sim$$10^{-33}$ eV naturally appears as a secondary effect, induced by the existence of a non-zero CC ($\lambda\neq 0$), with a smooth zero-mass limit $m_g \rightarrow 0$ as $\lambda\rightarrow 0$. This mass is shown to be related to the cosmological event horizon in asymptotic de Sitter space.
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