Time-Dependent Open String Solutions in 2+1 Dimensional Gravity

TL;DR

This paper derives general time-dependent solutions in 2+1 dimensional gravity sourced by open strings with no momentum flow, relating them to planar wall solutions in higher dimensions and analyzing their geometric properties.

Contribution

It introduces new time-dependent solutions in 2+1D gravity sourced by open strings and connects these to higher-dimensional planar wall solutions.

Findings

Solutions are explicitly constructed and characterized.

Coordinate transformations to Minkowski space are identified.

Relations to 3+1 dimensional planar wall solutions are established.

Abstract

We find general, time-dependent solutions produced by open string sources carrying no momentum flow in 2+1 dimensional gravity. The local Poincar\'e group elements associated with these solutions and the coordinate transformations that transform these solutions into Minkowski metric are obtained. We also find the relation between these solutions and the planar wall solutions in 3+1 dimensions.