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Comment on "Charged scalar field at future null infinity via nonlinear hyperboloidal evolution" [Phys. Rev. D {\bf 112}, 104053 (2025), arXiv:2506.15311]

Shahar Hod

Abstract

The asymptotically decaying tails that characterize the late-time dynamics of collapsing self-gravitating charged massless scalar fields were studied three decades ago by Hod and Piran (HP). In particular, it was shown, both analytically and numerically, that the late-time behavior of these collapsing charged massless scalar fields is governed by oscillatory inverse power law tails, which decay more slowly than the familiar tails of neutral massless fields. Recently Álvares and Vaño-Viñuales (AVV) have investigated the same model numerically. While most of their results are in very good agreement with the earlier findings of HP, there are also some discrepancies between the original results of HP and those reported by AVV. In this compact comment, we wish to highlight a number of inaccurate claims and critical errors in the analysis and results presented by AVV.

Comment on "Charged scalar field at future null infinity via nonlinear hyperboloidal evolution" [Phys. Rev. D {\bf 112}, 104053 (2025), arXiv:2506.15311]

Abstract

The asymptotically decaying tails that characterize the late-time dynamics of collapsing self-gravitating charged massless scalar fields were studied three decades ago by Hod and Piran (HP). In particular, it was shown, both analytically and numerically, that the late-time behavior of these collapsing charged massless scalar fields is governed by oscillatory inverse power law tails, which decay more slowly than the familiar tails of neutral massless fields. Recently Álvares and Vaño-Viñuales (AVV) have investigated the same model numerically. While most of their results are in very good agreement with the earlier findings of HP, there are also some discrepancies between the original results of HP and those reported by AVV. In this compact comment, we wish to highlight a number of inaccurate claims and critical errors in the analysis and results presented by AVV.

Paper Structure

This paper contains 7 equations.