Lozanovski, C. and Wylleman, L. (2011) Complex windmill transformation producing new purely magnetic fluids. Classical and Quantum Gravity, 28 (7). 075015-075031. ISSN 0264-9381
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Official URL: http://dx.doi.org/10.1088/0264-9381/28/7/075015
Identification Number or DOI: doi: 10.1088/0264-9381/28/7/075015
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.
|Item Type:||Article (Commonwealth Reporting Category C)|
|Additional Information:||Author version not held.|
|Uncontrolled Keywords:||mathematical physics; gravitation and cosmology; spacetime topology; causal structure; spinor structure; complex manifolds|
|Fields of Research (FOR2008):||02 Physical Sciences > 0201 Astronomical and Space Sciences > 020105 General Relativity and Gravitational Waves|
01 Mathematical Sciences > 0105 Mathematical Physics > 010504 Mathematical Aspects of General Relativity
01 Mathematical Sciences > 0105 Mathematical Physics > 010505 Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory
|Socio-Economic Objective (SEO2008):||E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences|
|Deposited On:||15 Mar 2011 17:27|
|Last Modified:||12 Jun 2012 08:52|
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