Spacetimes with a preferred null direction and a two-dimensional group of isometries: the null dust case

DOI10.1088/0264-9381/4/3/018zbMath0615.53066OpenAlexW2071206513MaRDI QIDQ4722794

Charalampos A. Kolassis, Nilton O. Santos

Publication date: 1987

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0264-9381/4/3/018

zbMATH Keywords

group of isometriesEinstein equationsnull dustKilling fieldprefered null directiontransitivity surfaces

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) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (5)

Gyroscopic precession and centrifugal force in the Ernst spacetime ⋮ Integration in the GHP formalism. II: An operator approach for spacetimes with Killing vectors, with applications to twisting type \(N\)-spaces ⋮ The equivalence problem for generic four-dimensional metrics with two commuting Killing vectors ⋮ Integration in the GHP formalism. IV: A new Lie derivative operator leading to an efficient treatment of Killing vectors ⋮ The \(GHP\) conformal Killing equations and their integrability conditions, with application to twisting type \(N\) vacuum spacetimes

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