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Prog. Theor. Phys. Vol. 66 No. 2 (1981) pp. 526-533
Axially Symmetric, Stationary Gravitational Field Equations and Pseudospherical Surfaces
Akira Tomimatsu
Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725
(Received April 6, 1981)
Abstract:
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.
URL :
http://ptp.ipap.jp/link?PTP/66/526/
DOI : 10.1143/PTP.66.526
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Citing Article(s) :
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Progress of Theoretical Physics Supplement No.70 (1981) pp. 215-237
:
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Multi-Soliton Solutions of the Einstein Equation and the Tomimatsu-Sato Metric
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Akira Tomimatsu and Humitaka Sato
