Conformal Hamiltonian Dynamics of General Relativity

Abstract

The General Relativity formulated with the aid of the spin connection coefficients is considered in the finite space geometry of similarity with the Dirac scalar dilaton. We show that the redshift evolution of the General Relativity describes the vacuum creation of the matter in the empty Universe at the electroweak epoch and the dilaton vacuum energy plays a role of the dark energy.

9 pages, 1 figure, submitted to PLB

References in corpus (4)

• The Standard Model Higgs boson as the inflaton
• Inflationary Cosmology
• Is it possible to estimate the Higgs Mass from the CMB Power Spectrum?
• The Hamiltonian approach to General Relativity and CMB primordial spectrum

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• Conformal and Affine Hamiltonian Dynamics of General Relativity
• Principles of Quantum Universe
• Conformally Coupled General Relativity
• Dirac's scalar field as an effective component of the dark energy and an evolution of the cosmological "constant"
• Von Neumann's Quantization of General Relativity
• Inflationary solutions in the simplest gravity model with conformal symmetry
• On anomalies in effective models with nonlinear symmetry realization
• Intrinsic Time in Geometrodynamics of Closed Manifolds