This article is cited in 26 papers

Exact string solutions in $2+1$-dimensional de Sitter spacetime

H. J. de Vega, A. V. Mikhailov^a, N. Sánchez<sup>b

a</sup> L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
^b Observatoire de Paris

Abstract: Exact and explicit string solutions propagating in $2+1$ dimensional de Sitter spacetime are presented and physically analized. (In this case the string equations reduce to a $sinh$-Gordon model.) Strings generically tend to inflate or either to collapse. The world-sheet time $\tau$ interpolates between the cosmic $\tau \to \pm \infty$ and conformal $\tau \to 0$ times. For $\tau \to 0$, the typical string instability is found, while for $\tau \to \pm \infty$, a new string behavior appears. In that regime, the string expands (or contracts) but not with the same rate as the universe does. The string constraints select periodic solutions of the $sinh$-Gordon equation associated to the lower boundary of the allowed zone, therefore excluding elliptic solutions.

Received: 19.09.1992

 English version: Theoretical and Mathematical Physics, 1993, 94:2, 166–172

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