Axially Symmetric, Stationary Gravitational Field Equations and Pseudospherical Surfaces

Details Axially Symmetric, Stationary Gravitational Field Equations and Pseudospherical Surfaces Axially Symmetric, Stationary Gravitational Field Equations and Pseudospherical Surfaces

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981pthph..66..526t&link_type=abstract

Progress of Theoretical Physics, Vol. 66, No. 2, pp. 526-533

Physics

2

Scientific paper

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 e2r(=-gρρgtt-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.

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