Gravitating dyons and the Lue-Weinberg bifurcation

Brihaye, Yves; Grard, F.; Hoorelbeke, S.

doi:10.1103/physrevd.62.044013

Cited by 19 publications

(44 citation statements)

References 17 publications

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“…This happens both in the low Higgs mass case, as was found by the original authors, as well as in the high Higgs mass case, as was shown by Brihaye, Hartmann and Kunzin [24] where the continuation of the original program has been carried out. Other studies connected with magnetic monopoles in the Einstein−Yang-Mills−Higgs theory can be mentioned: (i) The thermodynamical properties of these monopole black holes were further studied by Maeda et al [25,26,27] in the low Higgs mass case, and by Lue and Weinberg [22] for high Higgs mass; (ii) Ridgeway and Weinberg found the existence of non-spherically symmetric magnetic monopole configurations [28]; (iii) Dyonic solutions were found by Brihaye et al [29,30]; (iv) Monopole solutions in other theories were found, like in a Brans-Dicke theory [31], and in SU(3), SU (5), and SU(N) gauge theories [32,33,34].…”

Section: Introductionmentioning

confidence: 52%

“…Other studies connected with magnetic monopoles in the Einstein−Yang-Mills−Higgs theory can be mentioned: (i) The thermodynamical properties of these monopole black holes were further studied by Maeda et al [25,26,27] in the low Higgs mass case, and by Lue and Weinberg [22] for high Higgs mass; (ii) Ridgeway and Weinberg found the existence of non-spherically symmetric magnetic monopole configurations [28]; (iii) Dyonic solutions were found by Brihaye et al [29,30]; (iv) Monopole solutions in other theories were found, like in a Brans-Dicke theory [31], and in SU(3), SU (5), and SU(N) gauge theories [32,33,34]. Now, in a different context, the study of the Einstein-Maxwell system goes back to the origins of general relativity where Reissner in 1916 and Nordström in 1918 found the Reissner-Nordström solution (see [35] for the appropriate references), and Weyl studied axisymmetric gravito-electric vacuum systems in four dimensions [36].…”

Section: Introductionmentioning

confidence: 99%

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Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Lemos

Zanchin

2006

Journal of Mathematical Physics

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During the 1990s a large amount of work was dedicated to studying general relativity coupled to non-Abelian Yang-Mills type theories. Several remarkable results were accomplished. In particular, it was shown that the magnetic monopole, a solution of the Yang-Mills-Higgs equations can indeed be coupled to gravitation. For a low Higgs mass it was found that there are regular monopole solutions, and that for a sufficiently massive monopole the system develops an extremal magnetic Reissner-Nordström quasi-horizon with all the matter fields laying inside the horizon. These latter solutions, called quasi-black holes, although non-singular, are arbitrarily close to having a horizon, and for an external observer it becomes increasingly difficult distinguish these from a true black hole as a critical solution is approached. However, at precisely the critical value the quasi-black hole turns into a degenerate spacetime. On the other hand, for a high Higgs mass, a sufficiently massive monopole develops also a quasi-black hole, but at a critical value it turns into an extremal true horizon, now with matter fields showing up outside. One can also put a small Schwarzschild black hole inside the magnetic monopole, the configuration being an example of a non-Abelian black hole. Surprisingly, Majumdar-Papapetrou systems, Abelian systems constructed from extremal dust (pressureless matter with equal charge and energy densities), also show a resembling behavior. Previously, we have reported that one can find Majumdar-Papapetrou solutions which are everywhere nonsingular, but can be arbitrarily close of being a black hole, displaying the same quasi-black hole behavior found in the gravitational magnetic monopole solutions. With the aim of better understanding the similarities between gravitational magnetic monopoles and MajumdarPapapetrou systems, here we study a particular system, namely a system composed of two extremal electrically charged spherical shells (or stars, generically) in the Einstein−Maxwell−MajumdarPapapetrou theory. We first review the gravitational properties of the magnetic monopoles, and then compare with the gravitational properties of the double extremal electric shell system. These quasi-black hole solutions can help in the understanding of true black holes, and can give some insight into the nature of the entropy of black holes in the form of entanglement.

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Section: Introductionmentioning

confidence: 52%

Section: Introductionmentioning

confidence: 99%

Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Lemos

Zanchin

2006

Journal of Mathematical Physics

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“…More details on the method are given, e.g. in the Appendix of [30]. In this paper, the used mesh includes typically 10 3 points and the relative accuracy of the solutions is typically of the order of 10 −8 .…”

Section: Solutions and Their Propertiesmentioning

confidence: 99%

Charged boson stars and black holes with nonminimal coupling to gravity

Verbin

Brihaye

2018

Phys. Rev. D

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We find new spherically symmetric charged boson star solutions of a complex scalar field coupled nonminimally to gravity by a "John-type" term of Horndeski theory, that is a coupling between the kinetic scalar term and Einstein tensor. We study the parameter space of the solutions and find two distinct families according to their position in parameter space. More widespread is the family of solutions (which we call branch 1) existing for a finite interval of the central value of the scalar field starting from zero and ending at some finite maximal value. This branch contains as a special case the charged boson stars of the minimally coupled theory. In some regions of parameter space we find a new second branch ("branch 2") of solutions which are more massive and more stable than those of branch 1. This second branch exists also in a finite interval of the central value of the scalar field, but its end points (either both or in some cases only one) are extremal Reissner-Nordström black hole solutions.

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“…These come from the requirement of regularity of the origin [12]. Since particles are neither created nor destroyed during the time period of the simulation, we check that the total number of particles are conserved at each time step.…”

Section: )mentioning

confidence: 99%

Diffusion of massive particles around an Abelian-Higgs string

Saha

Sanyal

2018

J. Cosmol. Astropart. Phys.

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We study the diffusion of massive particles in the space time of an Abelian Higgs string. The particles in the early universe plasma execute Brownian motion. This motion of the particles is modeled as a two dimensional random walk in the plane of the Abelian Higgs string. The particles move randomly in the space time of the string according to their geodesic equations. We observe that for certain values of their energy and angular momentum, an overdensity of particles is observed close to the string. We find that the string parameters determine the distribution of the particles. We make an estimate of the density fluctuation generated around the string as a function of the deficit angle. Though the thickness of the string is small, the length is large and the overdensity close to the string may have cosmological consequences in the early universe.

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Gravitating dyons and the Lue-Weinberg bifurcation

Cited by 19 publications

References 17 publications

Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Charged boson stars and black holes with nonminimal coupling to gravity

Diffusion of massive particles around an Abelian-Higgs string

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