More on Long String Dynamics in Gravity on AdS3: Spinning Strings and Rotating BTZ

TL;DR

This paper investigates the classical dynamics of long, rotating strings in AdS3 space, showing that back-reaction leads to BTZ black holes rather than naked singularities, and introduces effective descriptions for string excitations.

Contribution

It extends previous work on non-rotating strings in AdS3 to include rotating strings and BTZ black holes, accounting for back-reaction and world-sheet excitations.

Findings

Rotating strings with back-reaction form BTZ black holes.

Heavy collapsing strings do not produce naked singularities.

Effective equations of state describe string excitations.

Abstract

In this paper we study the classical dynamics of long strings in AdS3, generalizing our previous study, arXiv:1410.3424 [hep-th], to rotating strings and BTZ black holes. As in the non-rotating case, BTZ black holes are generated in the large tension limit, in which string back-reaction must be taken into account. When back-reaction is properly accounted for, collapsing heavy, physical, rotating strings do not generate naked singularities but only BTZ black holes, including extremal ones. The rotating string must contain world-sheet excitations in order to have consistent equations of motion; we describe such additional degrees of freedom implicitly in terms of an effective equation of state.