Comment on "High-order contamination in the tail of gravitational collapse''

TL;DR

This paper critically examines Hod's predictions about logarithmic corrections in black hole perturbation decay rates, using numerical data to refute the specific form and dominance of such corrections.

Contribution

It provides empirical evidence against Hod's predicted logarithmic corrections to the Price tail in black hole perturbations.

Findings

Logarithmic corrections are not dominant in the decay tail.

The specific form of logarithmic corrections predicted by Hod is not supported.

Numerical data contradicts the predicted dominance of logarithmic terms.

Abstract

We confront the predictions of S. Hod, Phys. Rev. D 60, 104053 (1999) for the late-time decay rate of black hole perturbations with numerical data. Specifically, we ask two questions: First, are corrections to the Price tail dominated by logarithmic terms, as predicted by Hod? Second, if there were logarithmic correction terms, do they take the specific form predicted in Hod's paper? The answer to both questions is ``no.''