Analysis of the Newman-Unti Integration Procedure for Asymptotically Flat Space-Times
- 1 April 1970
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (4) , 1238-1248
- https://doi.org/10.1063/1.1665253
Abstract
An analysis is given of the procedure of Newman and Unti for solving the vacuum gravitational field equations for all space‐times in which Ψ0 = O(r−5). It was found empirically by Newman and Unti that when the nonradial equations and three of the u‐derivative equations have been satisfied to their lowest nontrivial order in r−1, they are then found to be identically satisfied to all orders. A general proof of this result is given which avoids the need for direct verification.Keywords
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