Stationary generalized Kerr-Schild spacetimes
arXiv:gr-qc/9801103 · doi:10.1063/1.532368
Abstract
In this paper we have applied the generalized Kerr-Schild transformation finding a new family of stationary perfect-fluid solutions of the Einstein field equations. The procedure used combines some well-known techniques of null and timelike vector fields, from which some properties of the solutions are studied in a coordinate-free way. These spacetimes are algebraically special being their Petrov types II and D. This family includes all the classical vacuum Kerr-Schild spacetimes, excepting the plane-fronted gravitational waves, and some other interesting solutions as, for instance, the Kerr metric in the background of the Einstein Universe. However, the family is much more general and depends on an arbitrary function of one variable.
21 pages, LaTeX 2.09. To be published in Journal of Mathematical Physics
Cited by in corpus (6)
- On the Conformal forms of the Robertson-Walker metric
- The Vector Volume and Black Holes
- FRW Universe Models in Conformally Flat Spacetime Coordinates. I: General Formalism
- A classification of spherically symmetric spacetimes
- Linear Einstein equations and Kerr-Schild maps
- Segre decomposition of spacetimes