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arXiv · 2607.00390

Comments on the non-existence of unified hoop conjecture

A. Bhattacharya·R. N. Izmailov·R. Kh. Karimov
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Abstract

In a recent article, Hod [1] has concluded the non-existence, heretofore unnoticed, of a unified Thorne's hoop conjecture that holds for the quasi-local mass, $\mathcal{M}(r\leq R_{+})$ for static Reissner-Nordstr\H{o}m black hole, but does not hold for the spinning electrically charged Kerr-Newman black holes, when the same quasi-local mass is used. While the conclusion is correct and important, we wish to point out a curious exception for which the conjecture holds in a unified way for both the static and spinning \textit{tidal} charged $4d$ braneworld black holes of string theory, when the mass in the conjecture is the same quasi-local mass.

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A. Bhattacharya, R. N. Izmailov, R. Kh. Karimov. 2026-07-01. Comments on the non-existence of unified hoop conjecture. https://doi.org/10.1140/epjc%2Fs10052-025-15116-7

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