Asymptotic conformal Yano-Killing tensors for asymptotic anti-de Sitter spacetimes and conserved quantities

Abstract

Conformal rescaling of conformal Yano--Killing tensors and relations between Yano and CYK tensors are discussed. Pullback of these objects to a submanifold is used to construct all solutions of a CYK equation in anti-de Sitter and de Sitter spacetimes. Properties of asymptotic conformal Yano--Killing tensors are examined for asymptotic anti-de Sitter spacetimes. Explicit asymptotic forms of them are derived. The results are used to construct asymptotic charges in asymptotic AdS spacetime. Well known examples like Schwarzschild-AdS, Kerr-AdS and NUT-AdS are examined carefully in the construction of the concept of energy, angular momentum and dual mass in asymptotic AdS spacetime.

38 pages

References in corpus (3)

• Conformal Yano-Killing tensor for the Kerr metric and conserved quantities
• Conformal Yano-Killing tensors for the Taub-NUT metric
• Unique characterization of the Bel-Robinson tensor

Cited by in corpus (4)

• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes
• Energy in higher-dimensional spacetimes
• The 3+1 decomposition of Conformal Yano-Killing tensors and "momentary" charges for spin-2 field