Stationary axisymmetric solutions involving a third order equation irreducible to Painlevé transcendents

DOI10.1063/1.2838157zbMath1153.81364OpenAlexW2034165178MaRDI QIDQ3544614

G. Marcilhacy, Jérôme Gariel, Nilton O. Santos

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2838157

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (1)

Race for the Kerr field

Cites Work

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• Umemura polynomials for the Painlevé V equation
• On the Umemura polynomials for the Painlevé III equation
• Some new stationary axisymmetric asymptotically flat space-times obtained from Painlevé transcendents
• Painlevé transcendents and Einstein's equation

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