Formation and decay of Einstein-Yang-Mills black holes

Abstract

We study various aspects of black holes and gravitational collapse in Einstein-Yang-Mills theory under the assumption of spherical symmetry. Numerical evolution on hyperboloidal surfaces extending to future null infinity is used. We begin by constructing colored and Reissner-Nordstrom black holes on surfaces of constant mean curvature and analyze their perturbations. These linearly perturbed black holes are then evolved into the nonlinear regime and the masses of the final Schwarzschild black holes are computed as a function of the initial horizon radius. We compare with an information-theoretic bound on the lifetime of unstable hairy black holes derived by Hod. Finally we study critical phenomena in gravitational collapse at the threshold between different Yang-Mills vacuum states of the final Schwarzschild black holes, where the n=1 colored black hole forms the critical solution. The work of Choptuik et al. (1999) is extended by using a family of initial data that includes another region in parameter space where the colored black hole with the opposite sign of the Yang-Mills potential forms the critical solution. We investigate the boundary between the two regions and discover that the Reissner-Nordstrom solution appears as a new approximate codimension-two attractor.

arXiv comment13 pages, 12 figures. Minor changes to agree with published version

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• Critical phenomena in the general spherically symmetric Einstein-Yang-Mills system
• Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time
• Numerical construction of initial data for Einstein's equations with static extension to space-like infinity
• Are gravitating magnetic monopoles stable?
• Type II critical behavior of gravitating magnetic monopoles
• Unveiling horizons in quantum critical collapse
• Stability and Critical Behavior of Gravitational Monopoles
• Numerical evidence for universality in the excited instability spectrum of magnetically charged Reissner-Nordström black holes
• Internal symmetry to the rescue: well-posed 1+1 evolution of self-interacting vector fields