The gravitational dynamics of warped throats

TL;DR

This paper studies the gravitational evolution of the Klebanov-Strassler geometry, revealing conditions for black hole formation and the stability of the spacetime against perturbations in a string theory context.

Contribution

It provides the first detailed analysis of dynamical perturbations in warped throats, identifying when black holes form and demonstrating the stability of the geometry against certain disturbances.

Findings

Black holes form under specific perturbations.

The geometry's cycles generally re-expand after perturbation.

The solution shows stability against some types of perturbations.

Abstract

We investigate the time evolution due to gravitational dynamics of a particular spacetime commonly used in brane-cosmology and string compactifications, namely the Klebanov-Strassler geometry, which is achieved by adding a perturbation to the momentum of the static solution. We observe the effects this has on the spacetime and look for evidence of black hole formation or collapsing cycles which could lead to singular geometry. The cycles are seen to commonly re-expand after reaching a minimum value, showing the stability of the solution against perturbations which would change its size. However black holes are observed to form for certain perturbations, which could impede common uses of the throat's stable tip.