Method of finding axially symmetric stationary vacuum solutions of the equations of general relativity
- 15 September 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 30 (6) , 1158-1160
- https://doi.org/10.1103/physrevd.30.1158
Abstract
A method of finding axially symmetric stationary vacuum solutions of the equations of general relativity is presented. The method is based on the calculation of the elements of a matrix, from an arbitrary function of certain arguments or from an arbitrary solution of a second-order linear partial differential equation. From this matrix, solutions of the Ernst equation, in the form of which the equations of general relativity are written, are obtained explicitly.Keywords
This publication has 27 references indexed in Scilit:
- Bäcklund transformations in the Hauser–Ernst formalism for stationary axisymmetric spacetimesJournal of Mathematical Physics, 1981
- Relationships between the group-theoretic and soliton-theoretic techniques for generating stationary axisymmetric gravitational solutionsJournal of Mathematical Physics, 1980
- Symmetries of the stationary Einstein–Maxwell field equations. IIIJournal of Mathematical Physics, 1978
- Symmetries of the stationary Einstein–Maxwell field equations. IIJournal of Mathematical Physics, 1977
- Symmetries of the stationary Einstein–Maxwell field equations. IJournal of Mathematical Physics, 1977
- New Series of Exact Solutions for Gravitational Fields of Spinning MassesProgress of Theoretical Physics, 1973
- New Exact Solution for the Gravitational Field of a Spinning MassPhysical Review Letters, 1972
- A Method for Generating New Solutions of Einstein's Equation. IIJournal of Mathematical Physics, 1972
- A Method for Generating Solutions of Einstein's EquationsJournal of Mathematical Physics, 1971
- New Formulation of the Axially Symmetric Gravitational Field ProblemPhysical Review B, 1968