Six-dimensional Myers-Perry rotating black hole cannot be overspun

TL;DR

This paper investigates whether six-dimensional Myers-Perry rotating black holes can be overspun under linear accretion and finds that they cannot, supporting the idea that the weak cosmic censorship conjecture holds in higher dimensions.

Contribution

It demonstrates that six-dimensional Myers-Perry black holes cannot be overspun under linear accretion, extending the understanding of cosmic censorship in higher-dimensional black holes.

Findings

Six-dimensional black holes cannot be overspun under linear accretion.

The result supports the weak cosmic censorship conjecture in dimensions greater than five.

Explicit calculations verify the impossibility of overspinning in six dimensions.

Abstract

Though under nonlinear accretion, all black holes in four and higher dimensions obey the weak cosmic censorship conjecture (CCC); however, they generally violate it for linear test particle accretion with the exception of five-dimensional rotating black hole with a single rotation. In dimensions greater than five, there exists no extremal condition for black hole with single rotation and hence it can never be overspun. However, the extremal condition does exist for five-dimensional black hole with two rotations and then it could indeed be overspun under linear accretion. In this paper, we study the case of six-dimensional rotating black hole with two rotations and show that unlike the five-dimensional black hole it cannot be overspun under linear accretion. Though for nonlinear accretion, this result is anyway expected to hold good, yet we have verified it with an explicit calculation. Further, we would like to conjecture that so should be the case in all dimensions greater than six. Thus, the weak CCC may always be obeyed even at linear accretion process for rotating black hole in all dimensions greater than five.