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General Relativistic 1+3 Orthonormal Frame Approach Revisited

Henk van Elst·Claes Uggla
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Abstract

The equations of the 1+3 orthonormal frame approach are explicitly presented and discussed. Natural choices of local coordinates are mentioned. A dimensionless formulation is subsequently given. It is demonstrated how one can obtain a number of interesting problems by specializing the general equations. In particular, equation systems for ``silent'' dust cosmological models also containing magnetic Maxwell fields, locally rotationally symmetric spacetime geometries and spatially homogeneous cosmological models are presented. We show that while the 3-Cotton--York tensor is zero for Szekeres dust models, it is nonzero for a generic representative within the ``silent'' class.

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Henk van Elst, Claes Uggla. 1996-03-18. General Relativistic 1+3 Orthonormal Frame Approach Revisited. https://doi.org/10.1088/0264-9381%2F14%2F9%2F021

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