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

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.

arXiv comment17 pages

References in corpus (10)

• A new look at the Plebanski-Demianski family of solutions
• Black holes in three dimensional higher spin gravity: A review
• On conformal Killing-Yano tensors for Plebanski-Demianski family of solutions
• Conformal Yano-Killing tensor for the Kerr metric and conserved quantities
• CYK Tensors, Maxwell Field and Conserved Quantities for Spin-2 Field
• Conformal Yano-Killing tensors for the Taub-NUT metric
• On the relation between metric and spin--2 form. of lin. Ein. theory
• Asymptotic Conformal Yano--Killing Tensors for Schwarzschild Metric
• Asymptotic conformal Yano-Killing tensors for asymptotic anti-de Sitter spacetimes and conserved quantities
• Future complete vacuum spacetimes

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