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- Title
The big bang as a result of the first-order phase transition driven by a change of the scalar curvature in an expanding early Universe: The 'hyperinflation' scenario.
- Authors
Pashitskii, E.; Pentegov, V.
- Abstract
We suggest that the Big Bang could be a result of the first-order phase transition driven by a change in the scalar curvature of the 4D spacetime in an expanding cold Universe filled with a nonlinear scalar field φ and neutral matter with an equation of state p = νε (where p and ε are the pressure and energy density of the matter, respectively). We consider the Lagrangian of a scalar field with nonlinearity φ in a curved spacetime that, along with the term-ξ R|φ| quadratic in φ (where ξ is the interaction constant between the scalar and gravitational fields and R is the scalar curvature), contains the term ξ Rφ(φ + φ) linear in φ, where φ is the vacuum mean of the scalar field amplitude. As a consequence, the condition for the existence of extrema of the scalar-field potential energy is reduced to an equation cubic in φ. Provided that ν > 1/3, the scalar curvature R = [κ(3ν-1)ε-4Λ] (where κ and Λ are Einstein's gravitational and cosmological constants, respectively) decreases with decreasing ε as the Universe expands, and a first-order phase transition in variable 'external field' parameter proportional to R occurs at some critical value R < 0. Under certain conditions, the critical radius of the early Universe at the point of the first-order phase transition can reach an arbitrary large value, so that this scenario of unrestricted 'inflation' of the Universe may be called 'hyperinflation.' After the passage through the phase-transition point, the scalar-field potential energy should be rapidly released, which must lead to strong heating of the Universe, playing the role of the Big Bang.
- Subjects
BIG bang theory; SCALAR field theory; SCALAR mesons; NEUTRAL equilibrium; LAGRANGE spectrum
- Publication
Journal of Experimental & Theoretical Physics, 2016, Vol 122, Issue 1, p52
- ISSN
1063-7761
- Publication type
Article
- DOI
10.1134/S1063776116010076