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

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].

minor improvements in the presentation, retypeset in EPJC preprint style

References in corpus (5)

• The Trautman-Bondi mass of initial data sets
• Hamiltonian charges in the asymptotically de Sitter spacetimes
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• Energy in higher-dimensional spacetimes
• Geometry of null hypersurfaces

Cited by in corpus (7)

• Quadrupolar radiation in de Sitter: Displacement memory and Bondi metric
• Charges, conserved quantities and fluxes in de Sitter spacetime
• On the canonical energy of weak gravitational fields with a cosmological constant $\Lambda \in \mathbb{R}$
• A generalization of the quadruple formula for the energy of gravitational radiation in de Sitter spacetime
• Asymptotic symmetries and memories of gauge theories in FLRW spacetimes
• Asymptotic dynamics and charges for FLRW spacetimes
• The Kerr-de Sitter spacetime in Bondi coordinates