No hair theorems for stationary axisymmetric black holes

Abstract

We present a non-perturbative proof of the no hair theorems corresponding to scalar and Proca fields for stationary axisymmetric de Sitter black hole spacetimes. Our method also applies to asymptotically flat and under a reasonable assumption, to asymptotically anti-de Sitter spacetimes.

arXiv commentv2, 10pp; minor changes, added references

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Cited by in corpus (15)

• Kerr black holes with Proca hair
• No-hair theorems for a static and stationary reflecting star
• Constraints on the symmetry noninheriting scalar black hole hair
• Dirac fermion, cosmological event horizons and quantum entanglement
• A Universal Lower Bound on the Specific Temperatures of AdS-Reissner-Nordstrom Black Holes with Flat Event Horizons
• Rotating Killing horizons in generic $F(R)$ gravity theories
• Scalarization-like mechanism through spacetime anisotropic scaling symmetry
• On symmetry inheritance of nonminimally coupled scalar fields
• Static de-Sitter Black Holes Abhor Charged Scalar Hair
• Note on black hole no hair theorems for massive forms and spin-1/2 fields
• Massive spin-2 and spin-1/2 no hair theorems for stationary axisymmetric black holes
• Black holes and the positive cosmological constant
• No-Go Theorems for Hairy Black Holes in Scalar- or Vector-Tensor-Gauss-Bonnet Theory
• Constrained field theories on Kerr backgrounds
• On instabilities of stationary scalar field configurations supported by reflecting compact stars