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arXiv · 2103.05982

On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$

P. T. Chruściel·Sk J. Hoque·M. Maliborski·T. Smołka
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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 $\Lambda>0$ 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 [13].

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P. T. Chruściel, Sk J. Hoque, M. Maliborski, T. Smołka. 2021-03-10. On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$. https://doi.org/10.1140/epjc%2Fs10052-021-09350-y

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