Circular Strings in De Sitter Spacetime

TL;DR

This paper investigates the behavior of circular strings in de Sitter spacetime, comparing exact and approximate solutions, and explores string evolution in various curved backgrounds including black holes and anti-de Sitter space.

Contribution

It provides a detailed analysis of circular string dynamics in de Sitter space and extends the study to generic strings in multiple curved spacetimes using perturbative methods.

Findings

Detailed solutions for circular strings in de Sitter space

Comparison with strings in black hole and anti-de Sitter backgrounds

Approximate methods for generic string evolution in curved spacetimes

Abstract

String propagation is investigated in de Sitter and black hole backgrounds using both exact and approximative methods. The circular string evolution in de Sitter space is discussed in detail with respect to energy and pressure, mathematical solution and physical interpretation, multi-string solutions etc. We compare with the circular string evolution in the 2+1 dimensional black hole anti de Sitter spacetime and in the equatorial plane of ordinary 3+1 dimensional stationary axially symmetric spacetime solutions of Einstein general relativity. Using an approximative string perturbation approach we consider also generic string evolution and propagation in all these curved spacetimes. (To appear in the proceedings of the 2eme Journee Cosmologie held in Paris, June 1994)