Relativistic string model in a space-time of a constant curvature

Details Relativistic string model in a space-time of a constant curvature Relativistic string model in a space-time of a constant curvature

Jan 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cmaph..78..499b&link_type=abstract

Communications in Mathematical Physics, Volume 78, Issue 4, pp.499-506

Mathematics

Mathematical Physics

20

Scientific paper

The relativistic string model is investigated in a space-time of a constant curvature (de Sitter universe). The fundamental differential quadratic forms of the world surface of the string are considered as the dynamical variables. The coefficients of these forms obey two nonlinear equations 220_2005_Article_BF02046761_TeX2GIFE1.gif \varphi _{,11} - \varphi _{,22} = e^\varphi \cos θ + Ke^{ - \varphi } ,θ _{,11} - θ _{,22} = e^\varphi sin θ . The Lax representation for this system is obtained.

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