The higher dimensional Myers-Perry black hole with single rotation always obeys the Cosmic Censorship Conjecture

TL;DR

This paper demonstrates that higher-dimensional Myers-Perry black holes with a single rotation always obey the Cosmic Censorship Conjecture, unlike the two-rotation case, by showing they cannot be overspun through test particle accretion.

Contribution

It proves that higher-dimensional black holes with a single rotation cannot be overspun, confirming they always obey the Cosmic Censorship Conjecture in these cases.

Findings

Single rotation Myers-Perry black holes cannot be overspun.

Higher-dimensional black holes with one rotation obey CCC.

Two-rotation black holes can be overspun, unlike single rotation ones.

Abstract

Even though the Myers-Perry five dimensional rotating black hole with two rotations could be overspun by test particle accretion, yet it turns out as we show in this letter that it cannot do so for a single rotation. On the other hand it is known that there exists no extremal limit for a black hole with single rotation in dimensions greater than equal to six. It has been proven that all higher dimensional ($>4$) rotating black holes with only one single rotation can never be overspun under test particle linear accretion and hence would always obey CCC in the weak form.