No hair theorems for stationary axisymmetric black holes
Sourav Bhattacharya, Amitabha Lahiri
TL;DR
This paper provides a non-perturbative proof of no hair theorems for scalar and Proca fields in various stationary axisymmetric black hole spacetimes, extending previous results to de Sitter, flat, and anti-de Sitter cases.
Contribution
It introduces a new non-perturbative proof technique for no hair theorems applicable to multiple spacetime asymptotics.
Findings
Proves no hair theorems for scalar and Proca fields in de Sitter black holes.
Extends proof applicability to asymptotically flat and anti-de Sitter spacetimes.
Provides a unified non-perturbative approach to no hair theorems.
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.
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