H. V. Grushevskaya, N. G. Krylova
Belarusian State University, Minsk, Belarus

Part of the book: Future Relativity, Gravitation, Cosmology

Abstract

While within the minimal Standard Model the electroweak phase transition is considered to be the second order, the first-order electroweak phase transitions proposed in the background of beyond Standard Models may solve some cosmological problems, like the generation of the baryon asymmetry of the universe. We develop a geometrothermodynamic model of cosmological first-order vacuum-phase transition based on a theory of the first-order phase transition in a contact statistical manifold. Nucleation of true-vacuum bubbles with axially symmetric generalized Newman– Unti–Tamburino (NUT)-like metrics have been considered. A manifold of evolving bubbles is a pseudo-Finsler statistical manifold of such thermodynamic system. Finsler-Lagrange dynamics has been studied taking into account the heterogeneity of nucleation processes, notably a relaxation times distribution for bubbles. We has shown that a NUT-like variable parameter n in the theory is the gauge parameter of the scalar field which plays a role of fifth dimension and the transition of which from the steady state into strongly oscillating state is accompanied by the first-order phase transition between true and false vacua.

Keywords: cosmological first-order phase transitions, Newman–Unti–Tamburino metric,
geometrothermodynamics, pseudo-Finsler statistical manifold

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