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arXiv · 1404.6629

The 3+1 decomposition of Conformal Yano-Killing tensors and "momentary" charges for spin-2 field

Jacek Jezierski·Szymon Migacz
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Abstract

The "fully charged" spin-2 field solution is presented. This is an analog of the Coulomb solution in electrodynamics and represents the "non-waving" part of the spin-2 field theory. Basic facts and definitions of the spin--2 field and conformal Yano-Killing tensors are introduced. Application of those two objects provides a precise definition of quasi-local gravitational charge. Next, the 3+1 decomposition leads to the construction of the momentary gravitational charges on initial surface which is applicable for Schwarzschild-like spacetimes.

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Jacek Jezierski, Szymon Migacz. 2014-04-26. The 3+1 decomposition of Conformal Yano-Killing tensors and "momentary" charges for spin-2 field. https://doi.org/10.1088/0264-9381/32/3/035016

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