General Relativistic 1+3 Orthonormal Frame Approach Revisited

Details General Relativistic 1+3 Orthonormal Frame Approach Revisited General Relativistic 1+3 Orthonormal Frame Approach Revisited

1996-03-18

arxiv.org/abs/gr-qc/9603026v1

Class.Quant.Grav. 14 (1997) 2673-2695

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

41 pages, uufiles encoded postscript file, submitted to Phys. Rev. D

Scientific paper

10.1088/0264-9381/14/9/021

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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