Other
Scientific paper
Dec 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008cqgra..25w5004b&link_type=abstract
Classical and Quantum Gravity, Volume 25, Issue 23, pp. 235004 (2008).
Other
Scientific paper
This is the second paper in a series that considers first-order, gauge-invariant and covariant, gravitational perturbations to locally rotationally symmetric (LRS) class II vacuum spacetimes. Focusing on the 1+1+2 gravito-electromagnetic (GEM) formalism, the first paper used linear algebra techniques to derive four decoupled equations that govern four specific combinations of the GEM 2-tensor harmonic amplitudes. This paper completes the decoupling of the 1+1+2 GEM system by showing how to derive seven new decoupled quantities. Four of these arise when considering the GEM 2-vector harmonic amplitudes and it is found that decoupling is achieved by combining these with the (2/3-sheet) shear 2-tensor harmonic amplitudes. The remaining three arise from the 1+1+2 GEM scalars. Two of which concern the 2-gradient of the gravito-electric scalar that must also be combined with shear 2-tensor amplitudes, whereas the other involves the gravito-magnetic scalar only.
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