Harmonic coordinates in the string and membrane equations

Details Harmonic coordinates in the string and membrane equations Harmonic coordinates in the string and membrane equations

2010-04-16

arxiv.org/abs/1004.2760v1

Journal of Mathematical Physics, Volume 51 Issue 1, 2010

Physics

Mathematical Physics

Scientific paper

In this note, we first show that the solutions to Cauchy problems for two versions of relativistic string and membrane equations are diffeomorphic. Then we investigate the coordinates transformation presented in Ref. [9] (see (2.20) in Ref. [9]) which plays an important role in the study on the dynamics of the motion of string in Minkowski space. This kind of transformed coordinates are harmonic coordinates, and the nonlinear relativistic string equations can be straightforwardly simplified into linear wave equations under this transformation.

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