Phys. Rev. Lett. 72, 450–453 (1994)Stability of non-Abelian black holes and catastrophe theoryReceived 4 October 1993; published in the issue dated 24 January 1994 Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of nontrivial black holes. There exists a maximum point of the black hole entropy where the stability of solutions changes. This criterion is universal, and the changes in stability follow from a catastrophe-theoretic analysis of the potential function defined by black hole entropy. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.72.450
DOI:
10.1103/PhysRevLett.72.450
PACS:
04.70.Dy, 95.30.Tg
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