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.

v2, 10pp; minor changes, added references

References in corpus (3)

• No hair theorems for positive Λ
• Effect of a positive cosmological constant on cosmic strings
• Birkhoff-like theorem for rotating stars in (2+1) dimensions

Cited by in corpus (6)

• Constraints on the symmetry noninheriting scalar black hole hair
• Scalarization-like mechanism through spacetime anisotropic scaling symmetry
• Static de-Sitter Black Holes Abhor Charged Scalar Hair
• 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