Abstract
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.
- Received 4 October 1993
DOI:https://doi.org/10.1103/PhysRevLett.72.450
©1994 American Physical Society