Massive spin-2 and spin-1/2 no hair theorems for stationary axisymmetric black holes

摘要

We present a proof of the no hair theorems corresponding to free massivenon-perturbative Pauli-Fierz spin-2 and perturbative massive spin-1/2 fieldsfor stationary axisymmetric de Sitter black hole spacetimes of dimension fourwith two commuting Killing vector fields. The applicability of these resultsfor asymptotically flat and anti-de Sitter spacetimes are also discussed.