Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability

TL;DR

This paper tests the weak cosmic censorship conjecture in higher-dimensional Myers-Perry black holes by analyzing scalar field scattering and thermodynamics, finding the conjecture holds in these scenarios.

Contribution

It provides a novel analysis of the weak cosmic censorship conjecture in Myers-Perry black holes with arbitrary rotations using scalar field scattering and thermodynamic arguments.

Findings

The conjecture remains valid after scalar field interactions.

Extremal and near-extremal black holes stay within the black hole state.

Thermodynamic laws support the validity of the conjecture.

Abstract

We investigate the weak cosmic censorship conjecture in Myers-Perry black holes with arbitrary rotations in general dimensions based on the scattering of a massless scalar field. From the fluxes of the scalar field flowing into the black hole, the changes in mass and angular momenta of the black hole are obtained. However, the extremal and near-extremal black holes with the aforementioned changes are still black holes in the final state. Hence, the conjecture is valid for our investigation. Furthermore, we analyze the changes in the black hole from a thermodynamic perspective to highlight that the laws of thermodynamics support the conjecture.