Complex windmill transformation producing new purely magnetic fluids

Article


Lozanovski, C. and Wylleman, L.. 2011. "Complex windmill transformation producing new purely magnetic fluids." Classical and Quantum Gravity. 28 (7), pp. 075015-075031. https://doi.org/10.1088/0264-9381/28/7/075015
Article Title

Complex windmill transformation producing new purely magnetic fluids

ERA Journal ID959
Article CategoryArticle
AuthorsLozanovski, C. (Author) and Wylleman, L. (Author)
Journal TitleClassical and Quantum Gravity
Journal Citation28 (7), pp. 075015-075031
Number of Pages17
Year2011
Place of PublicationBristol, United Kingdom
ISSN0264-9381
1361-6382
Digital Object Identifier (DOI)https://doi.org/10.1088/0264-9381/28/7/075015
Abstract

Minimal complex windmill transformations of G2IB(ii) spacetimes (admitting a two-dimensional Abelian group of motions of the so-called Wainwright B(ii) class) are defined and the compatibility with a purely magnetic Weyl tensor is investigated. It is shown that the transformed spacetimes cannot be perfect fluids or purely magnetic Einstein spaces. We then determine which purely magnetic perfect fluids (PMpfs) can be windmill-transformed into purely magnetic anisotropic fluids (PMafs). Assuming separation of variables, complete integration produces two, algebraically general, G2I-B(ii) PMpfs: a solution with zero 4-acceleration vector and spatial energy–density gradient, previously found by the authors, and a new solution in terms of Kummer's functions, where these vectors are aligned and non-zero. The associated windmill PMafs are rotating but non-expanding. Finally, an attempt to relate the spacetimes to each other by a simple procedure leads to a G2I-B(ii) one-parameter PMaf generalization of the previously found metric.

Keywordsmathematical physics; gravitation and cosmology; spacetime topology; causal structure; spinor structure; complex manifolds
ANZSRC Field of Research 2020510105. General relativity and gravitational waves
490204. Mathematical aspects of general relativity
490205. Mathematical aspects of quantum and conformal field theory, quantum gravity and string theory
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Byline AffiliationsComputational Engineering and Science Research Centre
Utrecht University, Netherlands
Institution of OriginUniversity of Southern Queensland
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