Standard model and graviweak unification with (super)renormalizable gravity. Part I: Visible and invisible sectors of the universe

Лаперашвили, Л. В.; Nielsen, Holger Bech; Tureanu, Anca

doi:10.1142/s0217751x1550044x

Cited by 11 publications

(12 citation statements)

References 113 publications

(284 reference statements)

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“…In the framework of the f (R) gravity, we have obtained a solution for a global monopole, which is a black-hole-hedgehog at the Planck scale. Here we have used the f (R) gravity predicted by the Gravi-Weak unification model previously developed by authors in papers [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Das

Лаперашвили

Nielsen³

et al. 2019

Universe

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Assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: (a) the first Electroweak (EW) vacuum at v 1 ≈ 246 GeV—“true vacuum”, and (b) the second Planck scale “false vacuum” at v 2 ∼ 10 18 GeV. In these vacua, we investigated different topological defects. The main aim of the paper is an investigation of the black-hole-hedgehogs configurations as defects of the false vacuum. In the framework of the f ( R ) gravity, described by the Gravi-Weak unification model, we considered a black-hole solution, which corresponds to a “hedgehog”—global monopole, that has been “swallowed” by the black-hole with mass core M B H ∼ 10 18 GeV and radius δ ∼ 10 − 21 GeV − 1 . Considering the results of the hedgehog lattice theory in the framework of the S U ( 2 ) Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs’ confinement phase ( T c ∼ 10 18 GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the S U ( 2 ) -triplet Higgs bosons) at the scale ∼10 TeV. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

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Section: Introductionmentioning

confidence: 99%

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Das

Лаперашвили

Nielsen³

et al. 2019

Universe

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“…But in the present paper we investigate a solution for a global monopole, which is a black-hole-hedgehog at the Planck scale in the framework of the f(R)-gravity predicted by the Gravi-Weak unification (GWU) model, previously developed by authors in Refs. [7][8][9][10]. In contrast to the theory [1][2][3], here we have taken into account the contribution of the magnetic field of hedgehogs.…”

Section: Introductionmentioning

confidence: 99%

“…In Refs. [7][8][9][10], using results of Refs. [11,12], we have constructed the Gravi-Weak unification (GWU), considering a Spin(4, 4)-group of GWU spontaneously broken into the SL(2, C) (grav) × SU(2) (weak) group of symmetry.…”

Section: Introductionmentioning

confidence: 99%

“…The action S (GW ) of the Gravi-Weak unification obtained in Refs. [7][8][9][10] is given by the following expression:…”

Section: Introductionmentioning

confidence: 99%

“…We showed that the "true vacuum" (EWvacuum) again is presented by the non-differentiable manifold with non-commutative geometry leading to an almost zero cosmological constant. 9. We considered that due to the energy conservation law, the vacuum energy density before the phase transition is equal to the vacuum energy density after the phase transition: ρ vac (at Planck scale) = ρ vac (at EW scale).…”

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confidence: 99%

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

Sidharth

Das

Лаперашвили

et al. 2018

Int. J. Mod. Phys. A

Self Cite

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In the present paper, we investigated the gravitational black-hole-hedgehog's solution with magnetic field contribution in the framework of the f(R)-gravity described by the Gravi-Weak unification 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 v 1 ≈ 246 GeV ("true vacuum"), and the second Planck scale ("false vacuum") with v 2 ∼ 10 18 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 M BH ≈ 3.65 × 10 18 GeV and radius δ ≈ 6 · 10 −21 GeV −1 . We investigated the metric in the vicinity of the black-holehedgehog and estimated its horizon radius: r h ≈ 1.14δ. We have considered the phase transition from the "false vacuum" to the "true vacuum" and confirmed the stability of the EW-vacuum.

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Gravity and unification: a review

Krasnov

Percacci

2018

Class. Quantum Grav.

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We review various classical unified theories of gravity and other interactions that have appeared in the literature, paying special attention to scenarios in which spacetime remains four-dimensional, while an "internal" space is enlarged. The starting point for each such unification scenario is a particular formalism for General Relativity. We thus start by reviewing, besides the usual Einstein-Hilbert and Palatini formulations, the Einstein-Cartan, MacDowell-Mansouri and BF (both nonchiral and chiral) formulations. Each of these introduces some version of "internal" bundle and a dynamical variable that ties the internal and tangent bundles. In each of these formulations there is also an independent connection in the "internal" bundle. One can then study the effects of "enlarging the internal space", which typically leads to a theory of gravity and Yang-Mills fields.We review what has been done in the literature on each of these unification schemes, and compare and contrast their achievements to those of the better developed Kaluza-Klein scenario. * Electronic address: kirill.krasnov@nottingham.ac.uk † Electronic address: percacci@sissa.it

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Standard model and graviweak unification with (super)renormalizable gravity. Part I: Visible and invisible sectors of the universe

Cited by 11 publications

References 113 publications

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

Explaining Defects of the Universal Vacua with Black Holes-Hedgehogs and Strings

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

Gravity and unification: a review

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