Magnetic field contribution to black-hole-hedgehog’s solution in GraviWeak unification

Abstract

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 M BH ≈ 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.