Stability of non-Abelian black holes and catastrophe theory

Maeda, Kei Ichi; Tachizawa, Takashi; Terauchi, Takashi; Maki, Taisuke

doi:10.1103/physrevlett.72.450

Cited by 96 publications

(153 citation statements)

References 32 publications

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“…Moreover, we should mention that a cusp structure which appears at the critical radius is a symptom of the stability change in catastrophe theory [15]. The massive branch is unstable while the other branch is stable [11]. If f s becomes small, the massive unstable branch approaches the colored black hole.…”

Section: Resultsmentioning

confidence: 99%

Internal structure of the Skyrme black hole

2001

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We consider the internal structure of the Skyrme black hole under a static and spherically symmetric ansatz. We concentrate on solutions with the node number one and with the "winding" number zero, where there exist two solutions for each horizon radius; one solution is stable and the other is unstable against linear perturbation. We find that a generic solution exhibits an oscillating behavior near the sigularity, as similar to a solution in the Einstein-Yang-Mills (EYM) system, independently to stability of the solution. Comparing it with that in the EYM system, this oscillation becomes mild because of the mass term of the Skyrme field.

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Section: Resultsmentioning

confidence: 99%

Internal structure of the Skyrme black hole

2001

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“…The appearance of such a cusp indicates change of stability. Such a behavior of stability could be understood by a catastrophe theory [19].…”

Section: Irreducible Mass and Rotational Energymentioning

confidence: 99%

Energy extraction from higher dimensional black holes and black rings

Nozawa

Maeda

2005

Phys. Rev. D

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We analyze the energy extraction by the Penrose process in higher dimensions. Our result shows the efficiency of the process from higher dimensional black holes and black rings can be rather high compared with than that in four dimensional Kerr black hole. In particular, if one rotation parameter vanishes, the maximum efficiency becomes infinitely large because the angular momentum is not bounded from above. We also apply a catastrophe theory to analyze the stability of black rings. It indicates a branch of black rings with higher rotational energy is unstable, which should be a different type of instability from the Gregory-Laflamme's one.

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“…Stable examples of black holes with hair are of particular interest for their physical relevance, and also in order to investigate the effects of hair on quantum processes connected with black holes. 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].…”

Section: Introductionmentioning

confidence: 99%

Do stringy corrections stabilize colored black holes?

Kanti

Winstanley

2000

Phys. Rev. D

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We consider hairy black hole solutions of Einstein-Yang-Mills-Dilaton theory, coupled to a GaussBonnet curvature term, and we study their stability under small, spacetime-dependent perturbations. We demonstrate that the stringy corrections do not remove the sphaleronic instabilities of the coloured black holes with the number of unstable modes being equal to the number of nodes of the background gauge function. In the gravitational sector, and in the limit of an infinitely large horizon, the coloured black holes are also found to be unstable. Similar behaviour is exhibited by the magnetically charged black holes while the bulk of the neutral black holes are proven to be stable under small, gauge-dependent perturbations. Finally, the electrically charged black holes are found to be characterized only by the existence of a gravitational sector of perturbations. As in the case of neutral black holes, we demonstrate that for the bulk of electrically charged black holes no unstable modes arise in this sector.

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Stability of non-Abelian black holes and catastrophe theory

Cited by 96 publications

References 32 publications

Internal structure of the Skyrme black hole

Internal structure of the Skyrme black hole

Energy extraction from higher dimensional black holes and black rings

Do stringy corrections stabilize colored black holes?

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