Abstract

In the framework of Multiple Point Principle (MPP), where the existence of the two degenerate vacua of the Universe, the first, ElectroWeak vacuum with ≈ 246 GeV (“true vacuum”), and the second at Planck scale ∼ 1018 GeV (“false vacuum”); we investigated the gravitational black-hole-hedgehog's solution with magnetic field contribution in the GraviWeak unification model described by f(R) gravity. We have considered the phase transition from the “false vacuum” to the “true vacuum” and confirmed the stability of the ElectroWeak vacuum. The “false vacuum” defect configurations for the black-hole-hedgehog have given a global monopole and this monopole has been “swallowed” by the black-hole with core mass MBH ≈ 3.65 × 1018 GeV and radius δ ≈ 6 × 10−21 GeV−1. The horizon radius of the black-hole-hedgehog is around rh ≈ 1.14δ.

Highlights

  • The birth of our Universe is a Big Bang since it represents the point of time when the Universe entered into a regime where the laws of physics began to work

  • The early Universe underwent a series of phase transitions

  • The cosmological model developed in Refs. [1, 2, 3] assumes the existence of two degenerate vacua of the Universe, the first (“true”) Electroweak (EW) vacuum with VEV v1 ≈ 246 GeV and the second (“false”) Planck scale vacuum with VEV v2 ∼ 1018 GeV, see Fig. 1

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Summary

Introduction

The birth of our Universe is a Big Bang since it represents the point of time when the Universe entered into a regime where the laws of physics began to work. [1, 2, 3] assumes the existence of two degenerate vacua of the Universe, the first (“true”) Electroweak (EW) vacuum with VEV v1 ≈ 246 GeV and the second (“false”) Planck scale vacuum with VEV v2 ∼ 1018 GeV, see Fig. 1 In these papers, we investigated hedgehog’s configurations as defects of “the false vacuum”. In agreement with experimental and astrophysical results, we assumed that after the Big Bang, there came into being the unification group GT OE of the Theory of the Everything (TOE) which was rapidly broken down to the direct product of series of gauge groups The action S(GW ) of the Gravi-Weak unification obtained in Refs.

De-Sitter solutions at the early time of the Universe
Lattice-like a structure of the false vacuum
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