Axially Symmetric, Stationary Gravitational Field Equations and Pseudospherical Surfaces
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概要
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For axially symmetric, stationary gravitational field equations, a new Lax pair of the inverse scattering method is presented from a geometrical point of view. The metric coefficient e^<2γ>(=-g_<ρρ>g^<-1>_<tt> is taken as the basic field variable, which satisfies an equation describing pseudospherical surfaces, i.e., surfaces of constant negative Gaussian curvature. The equations for other metric coefficients are also discussed.
- 理論物理学刊行会の論文
- 1981-08-25
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