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On the generalized Tomimatsu‐Sato solutions
Author(s) -
Hoenselaers C.
Publication year - 2001
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200106)10:6/7<609::aid-andp609>3.0.co;2-r
Subject(s) - rotational symmetry , quadrature (astronomy) , physics , gravitation , classical mechanics , order (exchange) , rational function , mathematics , mathematical analysis , mechanics , finance , optics , economics
We consider stationary axisymmetric vacuum gravitational fields. We use the factor structure of rational solutions to derive two second order equations for two functions. From the solutions of those equations the Ernst potential can be found by quadrature. Non‐rational solutions generalize the Tomimatsu‐Sato solutions.