Geodesic
Exact string solutions in $2+1$-dimensional de Sitter spacetime
Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 232-240 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     title = {Exact string solutions in $2+1$-dimensional de {Sitter} spacetime},
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H. J. de Vega; A. V. Mikhailov; N. Sánchez. Exact string solutions in $2+1$-dimensional de Sitter spacetime. Teoretičeskaâ i matematičeskaâ fizika, Tome 94 (1993) no. 2, pp. 232-240. http://geodesic.mathdoc.fr/item/TMF_1993_94_2_a4/

[1] De Vega H. J., Sánchez N., Nucl. Phys., 317 (1989), 706 ; Amati D., Klimĉik K., Phys. Lett., 210 (1988), 92 ; Costa M., de Vega H. J., Ann. Phys., 211 (1991), 223, 235 ; Pogrebkov A. K., Polivanov M. C., Sov. Sci. Rev. C, 5 (1985), 197–272 | DOI | DOI | MR | DOI | MR | MR | Zbl

[2] De Vega H. J., Sánchez N., Phys. Rev. D, 45 (1992), 2783 ; de Vega H.J., Ramón Medrano M., Sánchez N., LPTHE Paris preprint 92-13 | DOI | MR | Zbl

[3] De Vega H. J., Sánchez N., LPTHE Paris preprint 92-31

[4] Elains, Obyknovennye differentsialnye uravneniya, ONTI, Kharkov, 1939 | MR

[5] Gradshteyn I. S., Ryshik I. M., Table of Integrals, Series and Products, PhML, M., 1962 | MR

[6] De Vega H. J., Sánchez N., Phys. Lett., 197B (1987), 320 | DOI

[7] Sánchez N., Veneziano G., Nucl. Phys., B333 (1990), 253 ; Gasperini M., Sánchez N., Veneziano G., Int. J. Mod. Phys., A6 (1991), 3853 ; Nucl. Phys., B364 (1991), 365 | DOI | DOI | MR | DOI | MR