The complexification of a nonrotating sphere: An extension of the Newman–Janis algorithm
- 1 December 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (12) , 2339-2345
- https://doi.org/10.1063/1.525325
Abstract
A procedure given by Newman and Janis, to obtain the exterior Kerr metric from the exterior Schwarzschild metric by performing a complex coordinate transformation, is applied to an interior spherically symmetric metric. The resulting metric can be matched to the exterior Kerr metric on the boundary of the source which is chosen to be an oblate spheroid. A specific example of an interior solution for which the energy density is positive is given in detail.Keywords
This publication has 9 references indexed in Scilit:
- Source of the Kerr MetricPhysical Review D, 1970
- Interior Solution for a Finite Rotating Body of Perfect FluidPhysical Review B, 1968
- Kerr Metric, Rotating Sources, and Machian EffectsPhysical Review B, 1968
- Material Sources for the Kerr MetricPhysical Review B, 1967
- Note on the Kerr Metric and Rotating MassesJournal of Mathematical Physics, 1967
- Note on the Kerr Spinning-Particle MetricJournal of Mathematical Physics, 1965
- The contraction of gravitating spheresProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1964
- Gravitational Field of a Spinning Mass as an Example of Algebraically Special MetricsPhysical Review Letters, 1963
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962