Lozanovski, Con (2007) Szekeres-type mappings of Kasner and Petrov type I(M+) purely magnetic spacetimes. Classical and Quantum Gravity, 24 (5). pp. 1169-1188. ISSN 0264-9381
|HTML Citation||EndNote||Dublin Core||Reference Manager|
Full text not available from this archive.
Identification Number or DOI: doi: 10.1088/0264-9381/24/5/008
We show that Szekeres-type mappings of Kasner spacetime generate a 2-variable Haddow magnetic spacetime of Petrov type I(M∞) and of Segré type. It is then shown that this spacetime is unique for the generating functions of 3- or 4-variable generalizations. Moreover, sufficient conditions on the variable dependence of the metric coefficients distinguishing types I(M∞) and I(M+) are established for diagonal purely magnetic spacetimes. These results are then combined by embedding the 2-variable Haddow magnetic spacetime within a diagonal spacetime such that the resulting spacetime is of Petrov type I(M+), in general. In turn, this leads to a family of non-vacuum purely magnetic spacetimes of Petrov type I(M+). It is then shown that either the anisotropic pressure tensor or heat-flux vector can be set to zero. Notably, the former class contains a sub-class of Haddow magnetic spacetimes also of Petrov type I(M+). Finally, the possibility of conformally relating the general family of non-vacuum purely magnetic spacetimes to vacuum is shown not to be possible.
|Item Type:||Article (Commonwealth Reporting Category C)|
|Additional Information:||Author version not held.|
|Uncontrolled Keywords:||spacetime; spacetime topology|
|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
02 Physical Sciences > 0201 Astronomical and Space Sciences > 020107 Mesospheric, Ionospheric and Magnetospheric Physics
|Socio-Economic Objective (SEO2008):||E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences|
|Deposited On:||08 Mar 2010 22:21|
|Last Modified:||10 Nov 2011 09:20|
Archive Staff Only: edit this record