Long-lived quasinormal modes of Asymptotically de Sitter Black Holes in Generalized Proca Theory

TL;DR

This paper investigates the quasinormal modes of asymptotically de Sitter black holes in generalized Proca theory, revealing how scalar mass and black hole parameters influence the spectrum and implications for cosmic censorship.

Contribution

It provides a detailed analysis of the black-hole spectrum using high-order WKB and time-domain methods, including a new large-mass analytic formula and insights into quasi-resonances.

Findings

Increasing scalar mass leads to a large-mass regime with linear real frequency growth.

Damping rates approach a nonzero constant, preventing true quasi-resonances.

Spectrum shifts depend on black-hole size and Proca hair, affecting cosmic censorship.

Abstract

Massive scalar perturbations of asymptotically de Sitter black holes in generalized Proca theory display a sharp interplay between primary hair, horizon structure, and field mass. Using high-order WKB calculations supplemented by time-domain evolution, we analyze representative black-hole backgrounds and compare the full black-hole spectrum with the exact pure de Sitter benchmark. We show that increasing the scalar mass drives the frequencies into a simple large-mass regime in which the real part grows linearly while the damping rate approaches a nonzero geometry-dependent constant, so true quasi-resonances do not occur within the regime studied here. We also identify how the spectrum shifts with black-hole size and Proca hair, derive a compact analytic large-$\mu$ formula, and comment on the implications of the de Sitter-like sector for strong cosmic censorship in the charged three-horizon regime.