Vacuum solutions admitting a geodesic null congruence with shear proportional to expansion

DOI10.1063/1.528034zbMath0644.53067OpenAlexW2045018848MaRDI QIDQ3787096

Ayse H. Kupeli

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528034

zbMATH Keywords

pp-waveKasner solutionsgeneralized Kerr-Schild metricsgeodesic null vector fieldKota-Perjes solutionsLukács solutionsNontwisting vacuum metrics

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)

Cites Work

• Transformation laws of the Newman-Penrose field variables
• Newman-Penrose approach to twisting degenerate metrics
• Exact vacuum solutions of Einstein’s equation from linearized solutions
• Cartan ideal, prolongation, and Bäcklund transformations for Einstein’s equations

This page was built for publication: Vacuum solutions admitting a geodesic null congruence with shear proportional to expansion