Stability and characteristic propagation speeds in superconducting cosmic and other string models
Stability and characteristic propagation speeds in superconducting cosmic and other string models
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超导宇宙和其他弦模型的稳定性和特征传播速度
DOI：
10.1016/0370-2693(89)90976-3
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发表时间：
1989
影响因子：
4.4
通讯作者：
B. Carter
中科院分区：
文献类型：
--
作者：
B. Carter
一个bicharmonstic版本获得的微分方程的运动在最近推出的形式主义（全协变）治疗范围广泛的宏观“薄”字符串模型，从普通（小提琴型）的弹性字符串超导宇宙字符串的适用性。在任何局部稳定的状态下，有两个双特征传播速度对应于横向（非本征）和纵向（本征）扰动的群速度。局部稳定性要求不包括弦张力T为负或其相对于能量密度（每单位长度）U的导数为正的状态。
A bicharasteristic version is obtained for the differential equations of motion in a recently introduced formalism for the (fully covariant) treatment of a broad range of macroscopic “thin” string models, with applicability extending from ordinary (violin type) elastic strings to superconducting cosmic strings. In any locally stable state there are two bicharacteristic propagation speeds corresponding to group velocities of transverse (extrinsic) and longitudinal (intrinsic) perturbations. The local stability requirement excludes states in which the string tension T is negative or in which its derivative with respect to the energy density (per unit length) U is positive.