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General Relativity and Quantum Cosmology

arXiv:0711.3811 (gr-qc)
[Submitted on 26 Nov 2007 (v1), last revised 2 Dec 2007 (this version, v2)]

Title:A small cosmological constant from the modified Brans-Dicke theory - an interplay between different energy scales

Authors:Mikhail N. Smolyakov
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Abstract: In this paper we discuss a model in which the energy density, corresponding to the effective cosmological constant, after the $SU(2)\times U(1)$ symmetry breaking appears to be of the desired order of $10^{-48}÷10^{-47} GeV^{4}$. The model contain two different energy scales, one of which is associated with the Higgs's vacuum expectation value. Another scale is of the order of $10^{21}GeV$ and defines the vacuum expectation value of the Brans-Dicke scalar field, non-minimally coupled to gravity, and sets the value of the Planck mass. Other (dimensionless) parameters are assumed not to contain hierarchical differences. The model is devoid of any fine-tuning and gives a small value of the effective cosmological constant even if the real "bare" cosmological constant is quite large.
Comments: 10 pages, LaTeX, references added
Subjects: General Relativity and Quantum Cosmology (gr-qc); Astrophysics (astro-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:0711.3811 [gr-qc]
  (or arXiv:0711.3811v2 [gr-qc] for this version)
  https://doi.org/10.48550/arXiv.0711.3811

Submission history

From: Mikhail Smolyakov [view email]
[v1] Mon, 26 Nov 2007 20:22:08 UTC (10 KB)
[v2] Sun, 2 Dec 2007 21:29:28 UTC (10 KB)
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