Homothetic motions and vacuum Robinson-Trautman solutions

DOI10.1007/BF00756807zbMath0711.53018OpenAlexW2083286923MaRDI QIDQ923381

David B. Singleton

Publication date: 1990

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00756807

zbMATH Keywords

symmetrieshomothetic motionsKilling's equationsvacuum Robinson-Trautman solutions

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) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

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• Expanding algebraically degenerate vacuum spaces with homothetic motions
• Some spherical gravitational waves in general relativity
• Symmetries of the nontwisting type-N solutions with cosmological constant
• Einstein spaces and homothetic motions. I
• Einstein spaces and homothetic motions. II
• DS-spaces of Robinson and Trautman: topological identifications and asymptotic symmetry
• Einstein Spaces with Symmetry Groups