A new coordinate condition in general relativity

Physics

Scientific paper

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Scientific paper

In this paper, a new coordinate condition in general relativity is proposed. This coordinate condition is just Euler's equations of the harmonic map theory. It is shown that in case of rectangular coordinates our coordinate condition reduces to Fock's harmonic coordinate condition. Using this new coordinate condition the different spherical symmetric solutions of the Einstein equations are discussed. The axisymmetric case is also investigated.

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