Gravi-weak unification and the black-hole-hedgehog’s solution with magnetic field contribution

Abstract

In the present paper, we investigated the gravitational black-hole-hedgehog’s solution with magnetic field contribution in the framework of the [Formula: see text]-gravity described by the Gravi-weak unification (GWU) model. Assuming the Multiple Point Principle (MPP), we considered the existence of the two degenerate vacua of the Universe: the first Electroweak (EW)-vacuum with [Formula: see text] GeV (“true vacuum”), and the second Planck scale (“false vacuum”) with [Formula: see text] GeV. In these vacua, we investigated different topological defects. The main aim of this paper is an investigation of the black-hole-hedgehog configurations as defects of the “false vacuum.” We have obtained the solution which corresponds to a global monopole, that has been “swallowed” by the black-hole with core mass [Formula: see text] GeV and radius [Formula: see text] GeV[Formula: see text]. We investigated the metric in the vicinity of the black-hole-hedgehog and estimated its horizon radius: [Formula: see text]. We have considered the phase transition from the “false vacuum” to the “true vacuum” and confirmed the stability of the EW-vacuum.