Black hole Skyrmions with a negative cosmological constant

Shiiki, Noriko; Sawado, Nobuyuki

doi:10.1103/physrevd.71.104031

Cited by 35 publications

(46 citation statements)

References 29 publications

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“…Further studies inserted a black hole inside this particle [2,3] with the conclusion that, although unstable, the solution could be an instance of no-hair violation, which in turn motivated new works. Similar systems were then studied, such as, the Einstein-Skyrme system [4,5,6,7,8], the Einstein−Yang-Mills−dilaton system [5], the Yang-Mills−Proca system [6,9], the Einstein−Yang-Mills−Higgs sphaleron system [6,9], Einstein−Yang-Mills in anti-de Sitter spacetimes [10], all these systems have in common that their global electromagnetic type charge is zero, a good review is in [11]. There is yet another very interesting system, which concerns us here, the magnetic monopole which is a solution of the Einstein−Yang-Mills−Higgs system.…”

Section: Introductionmentioning

confidence: 99%

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: 99%

Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Lemos

Zanchin

2006

Journal of Mathematical Physics

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“…Further investigations would however need to be carried out to test this idea. While we have restricted ourselves to spherically symmetric, asymptotically flat solutions, similar tests could be carried out on Skyrme black holes with negative cosmological constant [17] provided that due care is taken that the Hamiltonian formalism is well defined in the non-flat asymptotic region. However, it is not clear how to extend the analysis to the axisymmetric B ∼ 2 solutions of [12] since these have a lower bound on the horizon radius and hence are not connected to their corresponding regular soliton solutions and it is not clear in this situation how to define the horizon mass.…”

Section: Discussionmentioning

confidence: 99%

Skyrme black holes in the isolated horizons formalism

Nielsen

2006

Phys. Rev. D

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We study static, spherically symmetric, Skyrme black holes in the context of the assumption that they can be viewed as bound states between ordinary bare black holes and solitons. This assumption and results stemming from the isolated horizons formalism lead to several conjectures about the static black hole solutions. These conjectures are tested against the Skyrme black hole solutions. It is shown that, while there is in general good agreement with the conjectures, a crucial aspect seems to violate one of the conjectures.

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“…There is also a branch of solutions that has a trivial Skyrme field and coincides with the pure Schwarzschild black hole. Self-gravitating solutions in Skyrme theory, both black holes and solitons, have also been studied in a series of papers [17][18][19][20][21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 98%

Time evolution of the radial perturbations and linear stability of solitons and black holes in a generalized Skyrme model

et al. 2011

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We study the time evolution of the radial perturbation for self-gravitating soliton and black-hole solutions in a generalized Skyrme model in which a dilaton is present. The background solutions were obtained recently by some of the authors. For both the solitons and the black holes two branches of solutions exist which merge at some critical value of the corresponding parameter. The results show that, similar to the case without a scalar field, one of the branches is stable against radial perturbations and the other is unstable. The conclusions for the linear stability of the black holes in the generalized Skyrme model are also in agreement with the results from the thermodynamical stability analysis based on the turning point method.

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Black hole Skyrmions with a negative cosmological constant

Cited by 35 publications

References 29 publications

Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Gravitational magnetic monopoles and Majumdar-Papapetrou stars

Skyrme black holes in the isolated horizons formalism

Time evolution of the radial perturbations and linear stability of solitons and black holes in a generalized Skyrme model

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