MGAT1 - Integrability and Solution Generating Methods for Einstein's Field Equations in Four and Higher Dimensions |
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Speaker |
Wylleman, Lode |
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Talk Title |
Applications of the ortho-complex-null (OCN) formalism to perfect fluids |
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Abstract |
The OCN formalism is a weighted formalism which singles out two mutually orthogonal vector fields on a 4D space-time, one unit timelike and one unit spacelike, thereby leaving a phase freedom to the complex null directions orthogonal to them. It is of great aid to deduce novel exact solution families wherein two such fields are naturally distinguished. I will first outline the formalism and then present a substantive list of new results which can be obtained by means of it, regarding Weyl-aligned Petrov type D perfect fluid models on the one hand and the integrability proof for a new class of Petrov type I gravito-electric rotating dust space-times on the other. |
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