Branch I of non-Abelian black holes with quartic self-interactions is linearly stable for all regular parameter values of the coupling χ.
Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
6 Pith papers cite this work, alongside 424 external citations. Polarity classification is still indexing.
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abstract
We present a review of gravitating particle-like and black hole solutions with non-Abelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton physics. We describe the Bartnik-McKinnon solitons and the non-Abelian black holes arising in the Einstein-Yang-Mills theory, and their various generalizations. These include axially symmetric and slowly rotating configurations, solutions with higher gauge groups, $\Lambda$-term, dilaton, and higher curvature corrections. The stability issue is discussed as well. We also describe the gravitating generalizations for flat space monopoles, sphalerons, and Skyrmions.
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Misner strings accompanying charged nutty black holes carry effective electric and magnetic charges via singular field flows with nonzero divergence, creating observable short-range electromagnetic hair.
Upper bound r_γ ≤ [(n-1)M]^{1/(n-3)} and lower bound r_γ ≥ ((n-1)/2)^{1/(n-3)} r_H on the photon sphere for nD black holes with anisotropic matter obeying the weak energy condition and non-positive trace.
Merons are universal in many non-Abelian gauge theories and source regular black holes and Euclidean wormholes via a non-Abelian Ayón-Beato-García generalization.
For n-dimensional Einstein-gravity black holes with matter satisfying the weak and strong energy conditions, the shadow radius is bounded below by a function of the horizon radius and above by a function of the ADM mass, both saturated by the vacuum solution.
Analytical construction of hairy meronic black holes in 4D Einstein-Maxwell-Yang-Mills with conformally coupled scalar, generalizing MTZ and AC solutions via non-Abelian fields and (super-)renormalizable terms.
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Branch I of non-Abelian black holes with quartic self-interactions is linearly stable for all regular parameter values of the coupling χ.
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Misner strings accompanying charged nutty black holes carry effective electric and magnetic charges via singular field flows with nonzero divergence, creating observable short-range electromagnetic hair.
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Bounds on the photon sphere radius for spherically symmetric black holes in n-dimensional Einstein gravity
Upper bound r_γ ≤ [(n-1)M]^{1/(n-3)} and lower bound r_γ ≥ ((n-1)/2)^{1/(n-3)} r_H on the photon sphere for nD black holes with anisotropic matter obeying the weak energy condition and non-positive trace.
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Universality of merons in non-Abelian gauge theories
Merons are universal in many non-Abelian gauge theories and source regular black holes and Euclidean wormholes via a non-Abelian Ayón-Beato-García generalization.
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Bounds on the radius of outermost photon sphere and black hole shadow in $n$-dimensional Einstein gravity
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(Super-)renormalizable hairy meronic black holes
Analytical construction of hairy meronic black holes in 4D Einstein-Maxwell-Yang-Mills with conformally coupled scalar, generalizing MTZ and AC solutions via non-Abelian fields and (super-)renormalizable terms.