Charged Black Rings at large D

TL;DR

This paper analytically studies charged black rings in large D dimensions, deriving effective equations, solutions, and stability properties, revealing how charge influences angular momentum and instabilities.

Contribution

It introduces an analytical large D framework for charged black rings, deriving effective equations and stability analysis, extending previous neutral black hole studies.

Findings

Charge reduces the angular momentum of black rings.

Charged black rings exhibit Gregory-Laflamme-like instability, weakened by charge.

Large D analysis respects cosmic censorship.

Abstract

We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black holes. The effective equations describe the charged black ring, the charged slowly rotating Myers-Perry black hole and the charged slowly boosted black string as stationary solutions. By embedding the solution of the effective equations into the flat spacetime background in the ring coordinate we obtain the charged black ring solution at large D analytically. We find that the charge lowers the angular momentum of the black ring due to the regular condition on the solution. By the perturbation analysis of the effective equations, we obtain the quasinormal modes of the charge perturbation and the gravitational perturbation analytically. Like the neutral case the charged thin black ring suffers from the Gregory-Laflamme-like instability under non-axisymmetric perturbations, but the charge helps weaken the instability. Besides, we find that the large D analysis always respect the cosmic censorship.