No hair for spherical black holes: Charged and nonminimally coupled scalar field with self-interaction.

  title={No hair for spherical black holes: Charged and nonminimally coupled scalar field with self-interaction.},
  author={Mayo and Bekenstein},
  journal={Physical review. D, Particles and fields},
  volume={54 8},
  • Mayo, Bekenstein
  • Published 1996
  • Physics, Medicine
  • Physical review. D, Particles and fields
We prove three theorems in general relativity which rule out classical scalar hair of static, spherically symmetric, possibly electrically charged black holes. We first generalize Bekenstein's no-hair theorem for a multiplet of minimally coupled real scalar fields with not necessarily quadratic action to the case of a charged black hole. We then use a conformal map of the geometry to convert the problem of a charged (or neutral) black hole with hair in the form of a neutral self-interacting… Expand
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  • 32, 1875
  • 1991
The Large Scale Structure of Spacetime (Cambridge
  • 1973
  • 33, 3497 (1992); Class. Quant. Grav. 12, 779
  • 1995
  • Kuikjen and R. Gregory, preprint gr{qc/9505039
  • 1995
  • Lett. B 331, 302
  • 1994
12th International conference on general relativity and gravitation
  • 1989
  • Rev. D 18, 2798
  • 1978
  • Nuov. Cim. 3, 326
  • 1972
  • Rev. Letters 28, 452 (1972); Phys. Rev. D 5, 1239 and 2403
  • 1972