Integrability Conditions for Irrotational Dust with a Purely Electric Weyl Tensor: A Tetrad Analysis

Preprint

3 October 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.astro-ph/9410005

Abstract

All spacetimes for an irrotational collisionless fluid with a purely electric Weyl tensor, with spacetime curvature determined by the exact Einstein field equations, are shown to be integrable. These solutions include the relativistic generalisations of the Zeldovich solutions of Newtonian theory. Thus our result shows the consistency of various studies of "silent" universes (where such consistency was assumed rather than proved).

Keywords

INTEGRABILITY CONDITIONS
PURELY ELECTRIC WEYL
IRROTATIONAL DUST
WEYL TENSOR
UNIVERSES

All Related Versions

Version 1, 1994-10-03, ArXiv
Published version: Physical Review D, 52 (6), 3406.

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