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- Title
Conformal and affine Hamiltonian dynamics of general relativity.
- Authors
Pervushin, Victor; Arbuzov, Andrej; Barbashov, Boris; Nazmitdinov, Rashid; Borowiec, Andrzej; Pichugin, Konstantin; Zakharov, Alexander
- Abstract
The Hamiltonian approach to the General Relativity is formulated as a joint nonlinear realization of conformal and affine symmetries by means of the Dirac scalar dilaton and the Maurer-Cartan forms. The dominance of the Casimir vacuum energy of physical fields provides a good description of the type Ia supernova luminosity distance-redshift relation. Introducing the uncertainty principle at the Planck's epoch within our model, we obtain the hierarchy of the Universe energy scales, which is supported by the observational data. We found that the invariance of the Maurer-Cartan forms with respect to the general coordinate transformation yields a single-component strong gravitational waves. The Hamiltonian dynamics of the model describes the effect of an intensive vacuum creation of gravitons and the minimal coupling scalar (Higgs) bosons in the Early Universe.
- Subjects
RELATIVITY (Physics); CONFORMAL geometry; HAMILTONIAN systems; CASIMIR effect; LUMINOSITY distance; UNCERTAINTY (Information theory)
- Publication
General Relativity & Gravitation, 2012, Vol 44, Issue 11, p2745
- ISSN
0001-7701
- Publication type
Article
- DOI
10.1007/s10714-012-1423-7