Colored black holes

Bizoń, Piotr

doi:10.1103/physrevlett.64.2844

Cited by 501 publications

(540 citation statements)

References 13 publications

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“…0 sufficiently fast. 7 We have verified that this condition agrees with the criterion proposed in [33], which states that the volume contribution to the total mass of a certain class of spherical time-symmetric initial data vanishes for critical potentials. 8 A similar class of critical potentials exists in region V for configurations where asymptotically !…”

Section: Critical Potentialssupporting

confidence: 73%

“…Clearly the critical potential corresponds to one where V d ÿ 1 P 2 just vanishes as the global minimum is reached. In other words, the condition 7 for a potential V to be on the verge of violating the PET is simply P 0 0 0. This applies to all critical potentials that are bounded from below, since every potential for which the theory (1) satisfies the PET is of the form (2) for some P.…”

Section: Critical Potentialsmentioning

confidence: 99%

“…On the other hand, Wheeler's hypothesis was proven wrong in e.g. Einstein-Yang-Mills [7] and Einstein-Skyrme [8] theory, in various combinations with dilaton [9] or Higgs [10] fields. Some, but not all, of these hairy black holes are unstable.…”

Section: Introductionmentioning

confidence: 99%

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Towards a novel no-hair theorem for black holes

Hertog

2006

Phys. Rev. D

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We provide strong numerical evidence for a new no-scalar-hair theorem for black holes in general relativity, which rules out spherical scalar hair of static four-dimensional black holes if the scalar field theory, when coupled to gravity, satisfies the Positive Energy Theorem. This sheds light on the no-scalarhair conjecture for Calabi-Yau compactifications of string theory, where the effective potential typically has negative regions but where supersymmetry ensures the total energy is always positive. In theories where the scalar tends to a negative local maximum of the potential at infinity, we find the no-scalar-hair theorem holds provided the asymptotic conditions are invariant under the full anti-de Sitter symmetry group.

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Section: Critical Potentialssupporting

confidence: 73%

Section: Critical Potentialsmentioning

confidence: 99%

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Towards a novel no-hair theorem for black holes

Hertog

2006

Phys. Rev. D

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“…There are also stable solutions in which the gauge field has no zeros, and the asymptotic value of the gauge potential is not fixed. This behavior is drastically different from those observed for EYM black holes in asymptotically flat [21] or de Sitter spacetime [22]. Their regular conterparts are discussed in [20,23] and present also interesting properties.…”

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confidence: 69%

New hairy black holes with negative cosmological constant

2002

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Black hole solutions with nonspherical event horizon topology are shown to exist in an EinsteinYang-Mills theory with negative cosmological constant. The main characteristics of the solutions are presented and differences with respect to the spherically symmetric case are studied. The stability of these configurations is also addressed.PACS: 04.40; 04.70.-s; 98.80.E Although anti-de Sitter (AdS) spacetime does not seem to correspond to the world in which we live [1], its importance has been noticed in many occasions. As shown by Hawking and Page, the presence of a negative comological constant Λ makes it possible for a black hole to reach stable thermal equilibrium with a heat bath [2].The black holes discussed by Hawking and Page have a spherically symmetric event horizon. The topological structure of the event horizon of a black hole is an intriguing subject in black hole physics. When asymptotic flatness and the energy conditions are given up, there are no fundamental reasons to forbid the existence of black holes with nontrivial topologies. In particular, for a negative cosmological constant, black holes for which the topology of the horizon is an arbitrary genus Riemann surface have been considered by many authors (see e.g.[3]- [18]). The thermodynamics of these solutions has been discussed in [9]-[13] while higher dimensional generalizations were obtained in [14]-[17]. The theorems about spherical horizon topology do not apply here because the negative cosmological constant can be interpreted as a negative vacuum energy density. They generalize the known solutions replacing the round two-sphere by a two-dimensional space Σ of negative or vanishing curvature.These black holes embedded in 'locally AdS' background spacetimes (background locally isometric to spacetimes of constant negative curvature) have been seminal to recent developments in black hole physics.All these investigations are mainly based on Einstein(-Maxwell) theory (note however the inclusion of a dilaton field in [18]). It may be of interest to generalize these solutions for a nonabelian matter content. Here we restrict attention to SU (2) Einstein-Yang-Mills (EYM) theory and investigate black hole solutions with locally flat or hyperbolic horizons, which asymptotically approach a locally AdS spacetime.The case of a spherically symmetric horizon has been discussed in [19,20] with some surprising results. For example, there are finite energy solutions for several intervals of the shooting parameter (the value of gauge function at event horizon), rather than discrete values. Solutions exist for all values of Λ < 0. There are also stable solutions in which the gauge field has no zeros, and the asymptotic value of the gauge potential is not fixed. This behavior is drastically different from those observed for EYM black holes in asymptotically flat [21] or de Sitter spacetime [22]. Their regular conterparts are discussed in [20,23] and present also interesting properties.In this letter we show numerically that, in the EYM system, the topol...

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“…The black hole solutions found possess hair [6] outside the horizon as anticipated from general and perturbative in α ′ considerations [7] [8]. The existence of black holes with non-trivial hair has been demonstrated in the Einstein-Maxwell-Dilaton system [9] [10] and the Einstein-Yang Mills(-Dilaton-Axion) system [11]. In the present article we shall extend the analysis of reference [4] by including an SU(2) Yang Mills field.…”

mentioning

confidence: 99%

Coloured black holes in higher curvature string gravity

Kanti

Tamvakis

1997

Physics Letters B

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We consider the combined Yang Mills-Dilaton-Gravity system in the presence of a Gauss-Bonnet term as it appears in the 4D Effective Superstring Action. We give analytical arguments and demonstrate numerically the existence of black hole solutions with non-trivial dilaton and Yang Mills hair for the particular case of SU(2) gauge fields. The thermodynamical properties of the solutions are also discussed.

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Colored black holes

Cited by 501 publications

References 13 publications

Towards a novel no-hair theorem for black holes

Towards a novel no-hair theorem for black holes

New hairy black holes with negative cosmological constant

Coloured black holes in higher curvature string gravity

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