Junctions, strings, clocks and gravitational memory in three dimensional dS space

TL;DR

This paper demonstrates how string excitations in three-dimensional de Sitter space can be generated from gravitational memory effects, revealing a self-consistent link between string dynamics and spacetime memory phenomena.

Contribution

It shows that string excitations emerge from gravitational junction conditions and introduces solutions where strings act as clocks, connecting string dynamics with gravitational memory in dS space.

Findings

String excitations can be generated from gravitational memory in dS space.

Solutions describe transient string fluctuations related to gravitational memory.

Strings can serve as self-contained clocks without external observers.

Abstract

We show that non-trivial stringy excitations in Lorentzian three dimensional de Sitter spacetime can be created self-consistently from gravitational memory in the infinite past. In addition to demonstrating that the Nambu-Goto equations for the string emerge from the gravitational junction conditions, we establish the existence of well-behaved solutions corresponding to transient fluctuations of a closed string about the equator which are both borne out of and dissolve to distinct gravitational memory in the infinite past and future, respectively. The solutions of the junction conditions also reveal that a transient string excitation sets up a clock self-consistently without the need of an external observer.