PREPRINT
CFE79634-B5DC-4DC0-8DD1-26B2FF0B97FA

Circular Strings and Multi-Strings in de Sitter and Anti de Sitter Spacetimes

H. J. de Vega, A. L. Larsen, N. Sánchez
arXiv:hep-th/9504050

Submitted on 10 April 1995

Abstract

The exact general solution of circular strings in 2+1 dimensional de Sitter spacetime is described completely in terms of elliptic functions. The novel feature here is that one single world-sheet generically describes {\it infinitely many} (different and independent) strings. This has no analogue in flat spacetime. The circular strings are either oscillating ("stable") or indefinitely expanding ("unstable"). We then compute the {\it exact} equation of state of circular strings in the 2+1 dimensional de Sitter (dS) and anti de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting and expanding) strings. We finally perform a semi-classical quantization of the oscillating circular strings. We find the mass formula αmdS24n5H2αn2,(nN0), and a {\it finite} number of states NdS0.34/(H2α) in de Sitter spacetime; mAdS2H2n2 (large nN) and NAdS= in anti de Sitter spacetime. The level spacing grows with n in AdS spacetime, while is approximately constant (although smaller than in Minkowski spacetime and slightly decreasing) in dS spacetime.

Preprint

Comment: Latex, 19 pages + 6 figures and 3 tables (not included). To appear in "New Developments in string gravity and physics at the Planck energy scale" (World Scientific, Singapore, 1995)

Subjects: High Energy Physics - Theory; Astrophysics; General Relativity and Quantum Cosmology

URL: https://arxiv.org/abs/hep-th/9504050