Massive spin-2 and spin-1/2 no hair theorems for stationary axisymmetric black holes
Sourav Bhattacharya, Amitabha Lahiri
TL;DR
This paper proves no hair theorems for massive spin-2 and spin-1/2 fields around stationary axisymmetric black holes in de Sitter, asymptotically flat, and anti-de Sitter spacetimes, extending understanding of black hole uniqueness.
Contribution
It provides the first non-perturbative proof of no hair theorems for massive spin-2 fields and a perturbative proof for massive spin-1/2 fields in these black hole spacetimes.
Findings
No massive spin-2 hair in stationary axisymmetric de Sitter black holes.
No massive spin-1/2 hair in these black hole backgrounds.
Results extend to asymptotically flat and anti-de Sitter spacetimes.
Abstract
We present a proof of the no hair theorems corresponding to free massive non-perturbative Pauli-Fierz spin-2 and perturbative massive spin-1/2 fields for stationary axisymmetric de Sitter black hole spacetimes of dimension four with two commuting Killing vector fields. The applicability of these results for asymptotically flat and anti-de Sitter spacetimes are also discussed.
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