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On the canonical energy of weak gravitational fields with a cosmological constant
P T Chruściel1,2, Sk J Hoque3, M Maliborski1
1University of Vienna, Gravitational Physics, Boltzmanngasse, 5, A1090 Wien, Austria.
Abstract:
We analyse the canonical energy of vacuum linearised gravitational fields on light cones on a de Sitter, Minkowski, and Anti de Sitter backgrounds in Bondi gauge. We derive the associated asymptotic symmetries. When the energy diverges, but a renormalised formula with well defined flux is obtained. We show that the renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation of the Trautman-Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).
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