2006/04/30 by Lode Wylleman, N Van den Bergh, Norbert Van den Bergh · 2 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc
paper · pdf · doi:10.1103/physrevd.74.084001
published as Phys.Rev.D74:084001,2006 · 12 pages; introduction partly rewritten, notation made more clear, table of results added
arxiv created 2006/06/07 · openalex publication_date 2006/10/02 · arxiv updated 2009/12/01 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28
Recently the class of purely magnetic nonrotating dust spacetimes has been shown to be empty [L. Wylleman, Classical Quantum Gravity 23, 2727 (2006).]. It turns out that purely magnetic rotating dust models are subject to severe integrability conditions as well. One of the consequences of the present paper is that also rotating dust cannot be purely magnetic when it is of Petrov type D or when it has a vanishing spatial gradient of the energy density. For purely magnetic and nonrotating perfect fluids on the other hand, which have been fully classified earlier for Petrov type D [C. Lozanovski, Classical Quantum Gravity 19, 6377 (2002).], the fluid is shown to be nonaccelerating if and only if the spatial density gradient vanishes. Under these conditions, a new and algebraically general solution is found, which is unique up to a constant rescaling, which is spatially homogeneous of Bianchi type VI0, has degenerate shear, and is of Petrov type I(M^\ensuremath∞) in the extended Arianrhod-McIntosh classification. The metric and the equation of state are explicitly constructed and properties of the model are briefly discussed. We finally situate it within the class of normal geodesic flows with degenerate shear tensor.