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

2018 ◽  
Vol 33 (32) ◽  
pp. 1850188 ◽  
Author(s):  
B. G. Sidharth ◽  
C. R. Das ◽  
L. V. Laperashvili ◽  
H. B. Nielsen
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
Multiple Point ◽  
False Vacuum ◽  
Core Mass ◽  
Horizon Radius ◽  
True Vacuum ◽  
The Stability

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.

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

Universe ◽  
2019 ◽  
Vol 5 (3) ◽  
pp. 78
Author(s):  
C. Das ◽  
L. Laperashvili ◽  
H. Nielsen ◽  
B. Sidharth
Keyword(s):  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
New Physics ◽  
Higgs Bosons ◽  
Multiple Point ◽  
False Vacuum ◽  
Yang Mills ◽  
True Vacuum ◽  
The Stability

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.

Gravitational black-holes-hedgehogs and two degenerate vacua of the Universe

2018 ◽  
Vol 27 (03) ◽  
pp. 1850022 ◽  
Author(s):  
B. G. Sidharth ◽  
C. R. Das ◽  
L. V. Laperashvili ◽  
H. B. Nielsen
Keyword(s):  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
New Physics ◽  
Multiple Point ◽  
False Vacuum ◽  
Yang Mills ◽  
True Vacuum ◽  
The Stability ◽  
The Universe

In the present paper, assuming the Multiple Point Principle (MPP) as a new law of Nature, we considered the existence of the two degenerate vacua of the Universe: the first Electroweak (EW) vacuum at [Formula: see text][Formula: see text]GeV — “true vacuum”, and the second Planck scale “false vacuum” at [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-hedgehogs configurations as defects of the false vacuum. In the framework of the [Formula: see text] 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 [Formula: see text][Formula: see text]GeV and radius [Formula: see text][Formula: see text]GeV[Formula: see text]. Considering the results of the hedgehog lattice theory in the framework of the [Formula: see text] Yang–Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs confinement phase ([Formula: see text][Formula: see text]GeV). This result gave us the possibility to conclude that the SM shows a new physics with contributions of the [Formula: see text]-triplet Higgs bosons at the scale [Formula: see text][Formula: see text]TeV. Theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

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

2018 ◽  
Author(s):  
C.R. Das ◽  
L.V. Laperashvili ◽  
H.B. Nielsen ◽  
B.G. Sidharth
Keyword(s):  
Black Hole ◽  
Planck Scale ◽  
Topological Defects ◽  
New Physics ◽  
Higgs Bosons ◽  
Multiple Point ◽  
False Vacuum ◽  
Yang Mills ◽  
True Vacuum ◽  
The Stability

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 $v_1\approx 246$ GeV—“true vacuum”, and b) the second Planck scale “false vacuum” at $v_2 \sim 10^{18}$ 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 $M_{BH}\sim 10^{18}$ GeV and radius $\delta\sim 10^{-21}$ GeV$^{-1}$. Considering the results of the hedgehog lattice theory in the framework of the $SU(2)$ Yang-Mills gauge-invariant theory with hedgehogs in the Wilson loops, we have used the critical value of temperature for the hedgehogs’ confinement phase ($T_c\sim 10^{18}$ GeV). This result gave us the possibility to conclude that the SM shows a new physics (with contributions of the $SU(2)$-triplet Higgs bosons) at the scale $\sim 10$ TeV. This theory predicts the stability of the EW-vacuum and the accuracy of the MPP.

scholarly journals The nature of the gravitational vacuum

2019 ◽  
Vol 28 (14) ◽  
pp. 1944005
Author(s):  
Samir D. Mathur
Keyword(s):  
Black Hole ◽  
String Theory ◽  
Cosmological Constant ◽  
Mass Formula ◽  
Vacuum Energy ◽  
Planck Scale ◽  
Cosmological Constant Problem ◽  
Horizon Radius ◽  
Number Formula ◽  
Gravitational Vacuum

The vacuum must contain virtual fluctuations of black hole microstates for each mass [Formula: see text]. We observe that the expected suppression for [Formula: see text] is counteracted by the large number [Formula: see text] of such states. From string theory, we learn that these microstates are extended objects that are resistant to compression. We argue that recognizing this ‘virtual extended compression-resistant’ component of the gravitational vacuum is crucial for understanding gravitational physics. Remarkably, such virtual excitations have no significant effect for observable systems like stars, but they resolve two important problems: (a) gravitational collapse is halted outside the horizon radius, removing the information paradox, (b) spacetime acquires a ‘stiffness’ against the curving effects of vacuum energy; this ameliorates the cosmological constant problem posed by the existence of a planck scale [Formula: see text].

scholarly journals Charged particle dynamics in the surrounding of Schwarzschild anti-de Sitter black hole with topological defect immersed in an external magnetic field

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Sidra Shafiq ◽  
Saqib Hussain ◽  
Muhammad Ozair ◽  
Adnan Aslam ◽  
Takasar Hussain
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Event Horizon ◽  
Topological Defect ◽  
Magnetic Field Effect ◽  
Topological Defects ◽  
De Sitter ◽  
Relativistic Jets ◽  
Stable Circular Orbit ◽  
Innermost Stable Circular Orbit

Abstract In this paper, geodesic motion of the charged particles in the vicinity of event horizon of Schwarzschild anti-de-Sitter black hole (BH) with topological defects has been investigated. Weakly magnetized environment is considered in the surrounding of BH which only effects the motion of the particles and doesn’t effect the geometry of the BH. Hence, particles are under the influence of gravity and electromagnetic forces. We have explored the effect of magnetic field on the trajectories of the particles and more importantly on the position of the innermost stable circular orbit. It is observed that the trajectories of the particles in the surrounding of BH are chaotic. Escape conditions of the particles under the influence of gravitomagnetic force are also discussed. Moreover, the escape velocity of particles and its different features have been investigated in the presence and absence of magnetic field. Effect of dark energy on the size of event horizon, mass of the BH and stability of the orbits of the particles have also been explored in detail. These studies can be used to estimate the power of relativistic jets originated from the vicinity of BH.

scholarly journals Topological structure of the vacuum, cosmological constant and dark energy

2016 ◽  
Vol 31 (34) ◽  
pp. 1630051 ◽  
Author(s):  
B. G. Sidharth ◽  
A. Das ◽  
C. R. Das ◽  
L. V. Laperashvili ◽  
H. B. Nielsen
Keyword(s):  
Dark Energy ◽  
Cosmological Constant ◽  
Top Quark ◽  
Topological Structure ◽  
Planck Scale ◽  
Topological Defects ◽  
Scale Space ◽  
Bound State ◽  
Multiple Point ◽  
Vacuum Stability

In this review, we present a theory of cosmological constant and dark energy (DE), based on the topological structure of the vacuum. The multiple point principle (MPP) is reviewed. It demonstrates the existence of the two vacua into the SM. The Froggatt–Nielsen’s prediction of the top-quark and Higgs masses is given in the assumption that there exist two degenerate vacua in the SM. This prediction was improved by the next-order calculations. We also considered Sidharth’s theory of cosmological constant based on the noncommutative geometry of the Planck scale space–time, what gives an extremely small DE density providing the accelerating expansion of the Universe. Theory of two degenerate vacua — the Planck scale phase and electroweak (EW) phase — is also reviewed, topological defects in these vacua are investigated, also the Compton wavelength phase suggested by Sidharth is discussed. A general theory of the phase transition and the problem of the vacuum stability in the SM is reviewed. Assuming the existence of a new scalar [Formula: see text] bound state [Formula: see text], earlier predicted by Froggatt, Nielsen and Laperashvili, we try to provide the vacuum stability in the SM and exact accuracy of the MPP.

Phase transitions and topological defects

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Early Universe ◽  
Topological Defects ◽  
False Vacuum ◽  
First Order ◽  
Broken Symmetries ◽  
First Order Phase Transition ◽  
True Vacuum ◽  
First Order Phase

As the early universe cools down, it may perform transitions to phases with more and more broken symmetries. In a first-order phase transition, fields may be trapped in the false vacuum; the rate of the resulting tunneling process to the true vacuum is derived. Phase transitions can lead also to the formation of topological defects. Their structure and the reason for their stability are discussed.

MOTION OF CHARGED PARTICLES AROUND A FIVE-DIMENSIONAL ROTATING MAGNETIZED BLACK HOLE

2007 ◽  
Vol 16 (08) ◽  
pp. 1369-1379
Author(s):  
R. KAYA
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
External Magnetic Field ◽  
Effective Potential ◽  
Equatorial Plane ◽  
Charged Particles ◽  
Circular Motion ◽  
Test Particles ◽  
Jacobi Formalism ◽  
The Stability

We study the effect of an external magnetic field on the stability of circular motion of charged particles in the equatorial plane of a five-dimensional rotating black hole. Using the Hamilton–Jacobi formalism, we derive the effective potential for the radial motion of test particles around a five-dimensional magnetized Myers–Perry black hole. We show that there exist stable circular orbits in equatorial planes in the background of this metric.

scholarly journals EXACT RELATIVISTIC MODELS OF THIN DISKS AROUND STATIC BLACK HOLES IN A MAGNETIC FIELD

2014 ◽  
Vol 23 (01) ◽  
pp. 1450010 ◽  
Author(s):  
ANTONIO C. GUTIÉRREZ-PIÑERES ◽  
GONZALO GARCÍA-REYES ◽  
GUILLERMO A. GONZÁLEZ
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Active Galactic Nuclei ◽  
Galactic Nuclei ◽  
Thin Disk ◽  
Rayleigh Criterion ◽  
Static Black Hole ◽  
The Stability ◽  
Thin Disks ◽  
The Magnetic Field

The exact superposition of a central static black hole with surrounding thin disk in presence of a magnetic field is investigated. We consider two models of disk, one of infinite extension based on a Kuzmin–Chazy–Curzon metric and other finite based on the first Morgan–Morgan disk. We also analyze a simple model of active galactic nuclei (AGN) consisting of black hole, a Kuzmin–Chazy–Curzon disk and two rods representing jets, in presence of magnetic field. To explain the stability of the disks, we consider the matter of the disk made of two pressureless streams of counter-rotating charged particles (counter-rotating model) moving along electrogeodesic. Using the Rayleigh criterion, we derivate for circular orbits the stability conditions of the particles of the streams. The influence of the magnetic field on the matter properties of the disk and on its stability are also analyzed.

scholarly journals Particle Dynamics around Weakly Magnetized Reissner-Nordström Black Hole

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Bushra Majeed ◽  
Mubasher Jamil ◽  
Saqib Hussain
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Circular Orbit ◽  
Field Effect ◽  
Charged Particles ◽  
Magnetic Field Effect ◽  
Particle Dynamics ◽  
Stable Region ◽  
Stable Circular Orbit ◽  
The Stability

Considering the geometry of Reissner-Nordström (RN) black hole immersed in magnetic field, we have studied the dynamics of neutral and charged particles. A collision of particles in the inner stable circular orbit is considered and the conditions for the escape of colliding particles from the vicinity of black hole are given. The trajectories of the escaping particle are discussed. Also, the velocity required for this escape is calculated. It is observed that there is more than one stable region if magnetic field is present in the accretion disk of black hole, so the stability of ISCO increases in the presence of magnetic field. Effect of magnetic field on the angular motion of neutral and charged particles is observed graphically.

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