THE DYNAMICS OF RELATIVISTIC MEMBRANES .2. NONLINEAR-WAVES AND COVARIANTLY REDUCED MEMBRANE EQUATIONS

被引:51
作者
BORDEMANN, M [1 ]
HOPPE, J [1 ]
机构
[1] UNIV KARLSRUHE,INST THEORET PHYS,D-76137 KARLSRUHE,GERMANY
关键词
D O I
10.1016/0370-2693(94)90025-6
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
By explicitly eliminating all gauge degrees of freedom in the 3 + 1-gauge description of a classical relativistic (open) membrane moving in R3 We derive a 2 + 1-dimensional nonlinear wave equation of Born-Infeld type for the graph z(t, x, y) which is invariant under the Poincare group in four dimensions. Alternatively, we determine the world-volume of a membrane in a covariant way by the zeroes of a scalar field u(t, x, y, z) obeying a homogeneous Poincare-invariant nonlinear wave-equation. This approach also gives a simple derivation of the nonlinear gas dynamic equation obtained in the light-cone gauge.
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页码:359 / 365
页数:7
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