Twisting, type-N vacuum gravitational fields with symmetries

The Einstein field equations for twisting, type-N fields in empty space possessing two noncommuting Killing vectors are reduced to a single second-order ordinary differential equation for a complex function. Alternative forms of this basic equation are also presented; in particular, an appropriate L...

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Detalles Bibliográficos
Autor: Chinea Trujillo, Francisco Javier
Tipo de recurso: artículo
Fecha de publicación:1988
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59478
Acceso en línea:https://hdl.handle.net/20.500.14352/59478
Access Level:acceso abierto
Palabra clave:51-73
Física-Modelos matemáticos
Física matemática
Descripción
Sumario:The Einstein field equations for twisting, type-N fields in empty space possessing two noncommuting Killing vectors are reduced to a single second-order ordinary differential equation for a complex function. Alternative forms of this basic equation are also presented; in particular, an appropriate Legendre transform provides a partial linearization, leading to a single real, nonlinear, third-order ordinary differential equation.