On the gravitational stability of D1-D5-P black holes

TL;DR

This paper investigates the stability of nonextremal D1-D5-P black holes, finding no superradiant instability, and discusses implications for fuzzball models by comparing with ergoregion instability in soliton geometries.

Contribution

It provides the first detailed analysis showing the absence of superradiant instability in nonextremal D1-D5-P black holes.

Findings

No evidence of superradiant instability in the studied black holes.

Comparison with soliton geometries reveals different stability properties.

Implications support the stability of certain fuzzball proposals.

Abstract

We examine the stability of the nonextremal D1-D5-P black hole solutions. In particular, we look for the appearance of a superradiant instability for the spinning black holes but we find no evidence of such an instability. We compare this situation with that for the smooth soliton geometries, which were recently observed to suffer from an ergoregion instability, and consider the implications for the fuzzball proposal.