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

@article{Mayo1996NoHF,
  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},
  year={1996},
  volume={54 8},
  pages={
          5059-5069
        }
}
  • 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
Extremal Kerr–Newman black holes with extremely short charged scalar hair
The recently proved ‘no short hair’ theorem asserts that, if a spherically-symmetric static black hole has hair, then this hair (the external fields) must extend beyond the null circular geodesicExpand
Topological black holes dressed with a conformally coupled scalar field and electric charge
Electrically charged solutions for gravity with a conformally coupled scalar field are found in four dimensions in the presence of a cosmological constant. If a quartic self-interaction term for theExpand
Aspects of self-gravitating solitons and hairy black holes
This thesis considers two particular systems of gravity coupled to matter: Einstein-non-Abelian-Proca (ENAP) theory with gauge group $SU(2)$ in asymptotically anti-de Sitter (AdS) spacetime andExpand
Towards a novel no-hair theorem for black holes
We provide strong numerical evidence for a new no-scalar-hair theorem for black holes in general relativity, which rules out spherical scalar hair of static four dimensional black holes if the scalarExpand
Thermodynamic phase structure of charged anti-de Sitter scalar-tensor black holes
When electromagnetic field with nonlinear lagrangian acts as a source of gravity the no-scalar-hair theorems can be eluded and black holes with non-trivial scalar field can be found in scalar tensorExpand
SCALAR–TENSOR BLACK HOLES COUPLED TO EULER–HEISENBERG NONLINEAR ELECTRODYNAMICS
The no-scalar-hair conjecture rules out the existence of asymptotically flat black holes with a scalar dressing for a large class of theories. No-scalar-hair theorems have been proved for the casesExpand
Analytic treatment of near-extremal charged black holes supporting non-minimally coupled massless scalar clouds
It has recently been revealed that massless scalar fields which are non-minimally coupled to the Maxwell electromagnetic tensor can be supported in the exterior spacetime regions of sphericallyExpand
Asymptotically flat black holes with scalar hair: a review
We consider the status of black hole (BH) solutions with nontrivial scalar fields but no gauge fields, in four-dimensional asymptotically flat spacetimes, reviewing both classical results and recentExpand
Dressing a black hole with non-minimally coupled scalar field hair
We investigate the possibility of dressing a four-dimensional black hole with classical scalar field hair which is non-minimally coupled to the spacetime curvature. Our model includes a cosmologicalExpand
No-hair theorems for black holes in the Abelian Higgs model
Motivated by the study of holographic superconductors, we generalize no-hair theorems for minimally coupled scalar fields charged under an Abelian gauge field, in arbitrary dimensions and withExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 12 REFERENCES
This Physical World
AMERICA seems ahead of Great Britain in realizing the necessity of inculcating a nodding acquaintance of scientific method in those whose later activities in life are to be other than scientific orExpand
Phys
  • 32, 1875
  • 1991
The Large Scale Structure of Spacetime (Cambridge
  • 1973
Phys
  • 33, 3497 (1992); Class. Quant. Grav. 12, 779
  • 1995
K
  • Kuikjen and R. Gregory, preprint gr{qc/9505039
  • 1995
Phys
  • Lett. B 331, 302
  • 1994
12th International conference on general relativity and gravitation
  • 1989
Phys
  • Rev. D 18, 2798
  • 1978
Lett
  • Nuov. Cim. 3, 326
  • 1972
Phys
  • Rev. Letters 28, 452 (1972); Phys. Rev. D 5, 1239 and 2403
  • 1972
...
1
2
...