1993
DOI: 10.1103/physrevd.48.607
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Magnetically charged black holes and their stability

Abstract: We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs theory in the limit of infinitely strong coupling of the Higgs field. Using mixed analytical and numerical methods we give a complete description of static spherically symmetric black hole solutions, both Abelian and non-Abelian. In particular, we find a new class of extremal non-Abelian solutions. \Ve show that all non-Abelian solutions are stable against linear radial perturbations. The implications of our results for the semiclassica… Show more

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Cited by 61 publications
(119 citation statements)
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“…However, many of the hairy black holes currently known are unstable, particularly those involving non-Abelian gauge fields [2][3][4][5][6][7][8], where the instability is topological in nature and similar to that of the flat space sphaleron. The only exceptions to the above rule are the black hole solutions found in the framework of the Einstein-Skyrme theory [9] and the magnetically charged, non-Abelian black holes in the limit of infinitely strong coupling of the Higgs field [10] or in the presence of a negative cosmological constant [11]. The limited number of stable black holes known so far makes the quest for new stable solutions both immediate and challenging.…”
Section: Introductionmentioning
confidence: 99%
“…However, many of the hairy black holes currently known are unstable, particularly those involving non-Abelian gauge fields [2][3][4][5][6][7][8], where the instability is topological in nature and similar to that of the flat space sphaleron. The only exceptions to the above rule are the black hole solutions found in the framework of the Einstein-Skyrme theory [9] and the magnetically charged, non-Abelian black holes in the limit of infinitely strong coupling of the Higgs field [10] or in the presence of a negative cosmological constant [11]. The limited number of stable black holes known so far makes the quest for new stable solutions both immediate and challenging.…”
Section: Introductionmentioning
confidence: 99%
“…It should be stressed, however, that although the monopole black hole has different properties from the types (A) and (B) above and shows more complicated behaviours [8,9,10], the catastrophe theory is again applied to the stability analysis [23]. Depending on the parameters g, λ, and Φ 0 in the Einstein-Yang-Mills-Higgs system, there seem to be the following two cases citeLNW,BFM,AB,TMMT:…”
mentioning
confidence: 99%
“…(II) For some range of parameters, the solution curve of the monopole black holes has a cusp C in the M-S plane [10,23], where the black hole has the maximum entropy. There are two solutions with the same horizon radius (the same entropy) but different masses just as with the other type of non-trivial black holes.…”
mentioning
confidence: 99%
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“…But we need to investigate for many reasons. Particularly, a monopole black hole which was found in SO(3) Einstein-Yang-Mill-Higgs (EYMH) system [11][12][13][14] is important because it is one of the counterexample of the black hole no hair conjecture [15]. Moreover, if we consider the evaporation process of the Reissner-Nortström (RN) black hole, it may become a monopole black hole and the final product (a regular gravitating monopole) could be a good candidate for the remnant of the Hawking radiation in such a system.…”
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confidence: 99%