Four-function generalization and separable structures of the Plebański spacetime with sources
Abstract
Abstract We determine a four-function generalization of the Plebański spacetime, depending on three arbitrary functions of the radial coordinate and one function on the angular coordinate. For the generalized Plebański spacetime, we analyze the separability of the Hamilton–Jacobi equations, and the trajectories of a charged test particle are derived from the motion constants. The Klein–Gordon equation separability is established and the Killing horizons are presented as well. Then we introduce a conformal factor to the Plebański metric and discuss the conditions that preserve the separability. Finally we show a possible stress–energy tensor that may be the source of some of the generalized metrics.
Fields of Study & Subjects
Advanced Differential Geometry Research
Noncommutative and Quantum Gravity Theories
Cosmology and Gravitation Theories
Publication details
- Journal / source
- The European Physical Journal Plus
- Publisher
- Springer Science and Business Media LLC
- Volume
- 141
- Issue
- 1
- Publication date
- 7 January 2026
- Language
- EN