No hair theorems and black holes with hair

Oct, 1996

Citations per year

1996200320102017202402468
Abstract: (arXiv)
The critical steps leading to the uniqueness theorem for the Kerr-Newman metric are reexamined in the light of the new black hole solutions with Yang-Mills and scalar hair. Various methods -- including scaling techniques, arguments based on energy conditions, conformal transformations and divergence identities -- are reviewed, and their range of application to selfgravitating scalar and non-Abelian gauge fields is discussed. In particular, the no-hair theorem is extended to harmonic mappings with arbitrary Riemannian target manifolds. (This paper is an extended version of an invited lecture held at the Journ\'ees Relativistes 96.)
  • lectures: Ascona 1996/05/26
  • black hole: hair
  • space-time: Kerr
  • gauge field theory: Yang-Mills
  • field theory: scalar
  • scaling
  • energy
  • transformation: conformal
  • soliton
  • mass: upper limit