Dynamics of Myers-Perry black holes with almost equal angular momenta in odd dimensions

TL;DR

This paper explores the nonlinear dynamics and phase structure of higher-dimensional Myers-Perry black holes with nearly equal angular momenta, revealing their stability properties and potential topology-changing transitions.

Contribution

It extends the understanding of black hole dynamics by analyzing nearly equal angular momenta cases using large D effective theory, connecting to singly rotating solutions.

Findings

Identification of stationary phases related to singly rotating solutions

Phase diagram of almost equally rotating black holes

Implications for topology-changing transitions

Abstract

We investigate the nonlinear dynamics of D=2N+3 Myers-Perry black holes with almost equal angular momenta, which have N equal spins out of possible N+1 spins. In particular, we study the ultraspinning instability and the fate of its nonlinear evolution using the large D effective theory approach. We find that every stationary phase can be mapped to the counterpart in the singly rotating phase within the leading order effective theory. From the known results of singly rotating solutions, we obtain the phase diagram of almost equally rotating black holes. We also obtain a certain implication for the possible topology changing transition.