An example of non-Weyl preserving complex transformation

Journal article


Lozanovski, Con. (2014). An example of non-Weyl preserving complex transformation. General Relativity and Gravitation. 46(1716), pp. 1 - 15. https://doi.org/10.1007/s10714-014-1716-0
AuthorsLozanovski, Con
Abstract

It has been observed on a number of occasions that complex transformations, of real solutions of the field equations to other real solutions, often preserve certain properties of the Weyl tensor. That is, the Petrov type and/or gravito-electromagnetic (GEM) properties of the Weyl tensor are preserved. In this context, we present an outstanding example of a complex windmill transformation of a static (non-physical) anisotropic fluid spacetime of Petrov type I(M+) that maps to a purely magnetic (PM) spacetime of Petrov type I(M∞) . The PM spacetime is analyzed and compared to the Arianrhod–Lun–McIntosh–Perjés spacetime. It is shown that these spacetimes, although similar in some aspects, are distinct solutions. The main distinction is that the generated PM spacetime satisfies all the standard energy-conditions. This intriguing but purely mathematical scenario may have implications in the area of GEM duality.

Year2014
JournalGeneral Relativity and Gravitation
Journal citation46 (1716), pp. 1 - 15
PublisherSpringer New York LLC
ISSN0001-7701
Digital Object Identifier (DOI)https://doi.org/10.1007/s10714-014-1716-0
Scopus EID2-s2.0-84900867056
Page range1 - 15
Research GroupSchool of Arts
Place of publicationUnited States of America
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