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• W2273628064 abstract "A vacuum type D initial data set is a vacuum initial data set of the Einstein field equations whose data development contains a region where the space–time is of Petrov type D. In this paper we give a systematic characterisation of a vacuum type D initial data set. By systematic we mean that the only quantities involved are those appearing in the vacuum constraints, namely the first fundamental form (Riemannian metric) and the second fundamental form. Our characterisation is a set of conditions consisting of the vacuum constraints and some additional differential equations for the first and second fundamental forms These conditions can be regarded as a system of partial differential equations on a Riemannian manifold and the solutions of the system contain all possible regular vacuum type D initial data sets. As an application we particularise our conditions for the case of vacuum data whose data development is a subset of the Kerr solution. This has applications in the formulation of the nonlinear stability problem of the Kerr black hole." @default.
• W2273628064 created "2016-06-24" @default.
• W2273628064 creator A5066532048 @default.
• W2273628064 date "2016-08-01" @default.
• W2273628064 modified "2023-09-27" @default.
• W2273628064 title "Vacuum type D initial data" @default.
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• W2273628064 doi "https://doi.org/10.1088/0264-9381/33/17/175005" @default.
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