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
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
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.
citation-role summary
background 2
citation-polarity summary
years
2026 5roles
background 2polarities
background 2representative citing papers
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.
Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.
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.
citing papers explorer
-
Stable colored black holes with quartic self-interactions
Branch I of non-Abelian black holes with quartic self-interactions is linearly stable for all regular parameter values of the coupling χ.
-
Charged nutty black holes are hairy
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.
-
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.
-
(Super-)renormalizable hairy meronic black holes
Analytical black hole solutions are constructed in Einstein-Maxwell-Yang-Mills theory with conformally coupled scalars, generalizing MTZ and AC solutions by including non-Abelian gauge fields determined by horizon curvature.
-
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.