Relativistic string model in a space-time of a constant curvature
Relativistic string model in a space-time of a constant curvature
复制标题
常曲率时空中的相对论弦模型
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
V. Nesterenko
中科院分区：
文献类型：
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作者：
B. Barbashov;V. Nesterenko
摘要研究了恒定曲率时空（德西特宇宙）中的相对论弦模型。弦的世界曲面的基本微分二次型被认为是动力学变量。这些形式的系数服从两个非线性方程
$$varphi _{,11} - varphi _{,22} = e^varphi cos heta + Ke^{ - varphi } , heta _{,11} - heta _{,22} = e^varphi sin heta .$$
得到了该系统的Lax表示。
AbstractThe 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
$$varphi _{,11} - varphi _{,22} = e^varphi cos heta + Ke^{ - varphi } , heta _{,11} - heta _{,22} = e^varphi sin heta .$$
The Lax representation for this system is obtained.