Gravitating skyrmions

Bizoń, Piotr; Chmaj, Tadeusz

doi:10.1016/0370-2693(92)91069-l

Cited by 140 publications

(284 citation statements)

References 19 publications

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“…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 ! 0.…”

Section: Critical Potentialsmentioning

confidence: 84%

“…This yields a one-parameter family of critical potentials, 8 given by the function B c A that separates region III from region IV in Fig. 2.…”

Section: Critical Potentialsmentioning

confidence: 99%

“…A solution to (8) exists unless the quantity inside the square root becomes negative. As we integrate out from 0 , P is increasing and the square root remains real because the scalar satisfies the BF bound.…”

Section: Critical Potentialsmentioning

confidence: 99%

“…One can solve (8) for P, starting with P 0 0 at 0 and tuning ; C so that a global solution P just exists. This yields a class of critical potentials, where the barrier around the local minimum at 0 is just high enough to ensure all configurations where !…”

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%

See 4 more Smart Citations

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.

show abstract

Section: Critical Potentialsmentioning

confidence: 84%

“…This yields a one-parameter family of critical potentials, 8 given by the function B c A that separates region III from region IV in Fig. 2.…”

Section: Critical Potentialsmentioning

confidence: 99%

Section: Critical Potentialsmentioning

confidence: 99%

Section: Critical Potentialsmentioning

confidence: 99%

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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A Static and Spherically Symmetric Hairy Black Hole in the Framework of the Gravitational Decoupling

Avalos

Bargueño

Contreras

2023

Fortschritte der Physik

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In this work we construct a static and spherically symmetric black hole geometry supported by a family of generic mono-parametric sources thorough the Gravitational Decoupling. The parameter characterizing the matter sector can be interpreted as hair which cannot be associated to any global charge. Although the solution is constructed by demanding the weak energy condition, we find that the resulting matter sector satisfies all the energy conditions at and outside the horizon. We study the effect of the hair on the periastron advance and the gravitational lensing of the black hole. We estimate the best WKB order to compute the quasinormal frequencies for scalar, vector and tensor perturbation fields.

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Classical Yang–Mills Black Hole Hair in Anti-de Sitter Space

Winstanley

Physics of Black Holes

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The properties of hairy black holes in Einstein-Yang-Mills (EYM) theory are reviewed, focusing on spherically symmetric solutions. In particular, in asymptotically anti-de Sitter space (adS) stable black hole hair is known to exist for su(2) EYM. We review recent work in which it is shown that stable hair also exists in su(N) EYM for arbitrary N, so that there is no upper limit on how much stable hair a black hole in adS can possess.

show abstract

Gravitating skyrmions

Cited by 140 publications

References 19 publications

Towards a novel no-hair theorem for black holes

Towards a novel no-hair theorem for black holes

A Static and Spherically Symmetric Hairy Black Hole in the Framework of the Gravitational Decoupling

Classical Yang–Mills Black Hole Hair in Anti-de Sitter Space

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