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Axially Symmetric, Stationary Gravitational Field Equations and Pseudospherical Surfaces

机译:轴对称,固定引力场方程和伪球面

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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 sup(2 gamma ) (= -g sub(rho rho)g sub(tt)sup(-1)) 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. (Atomindex citation 13:660184)

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