A nilpotent prolongation of the Robinson–Trautman equation

DOI10.1063/1.526107zbMath0557.53045OpenAlexW2092909127MaRDI QIDQ3222830

D. C. Robinson, E. N. Glass

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526107

zbMATH Keywords

conservation lawsnonlinear evolution equationspace-timeRobinson-Trautmanseven dimensional nilpotent Lie algebra

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

Related Items

The Robinson-Trautman type III prolongation structure contains \(K_ 2\) ⋮ Robinson–Trautman solutions with scalar hair and Ricci flow ⋮ Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's ⋮ Singular manifold analysis of the Einstein vacuum field equations

Cites Work

• Some spherical gravitational waves in general relativity
• The KdV prolongation algebra
• Prolongation structures of nonlinear evolution equations