On the canonical energy of weak gravitational fields with a cosmological constant Λ∈ R

Author(s)
P. T. Chruściel, Sk J. Hoque, M. Maliborski, T. Smołka
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 Λ> 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 Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).

Organisation(s)
Gravitational Physics
External organisation(s)
Charles University Prague, University of Warsaw, Institut des Hautes Études Scientifiques (IHES)
Journal
European Physical Journal C
Volume
81
No. of pages
48
ISSN
1434-6044
DOI
https://doi.org/10.1140/epjc/s10052-021-09350-y
Publication date
08-2021
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics, 103028 Theory of relativity
ASJC Scopus subject areas
Engineering (miscellaneous), Physics and Astronomy (miscellaneous)
Portal url
https://ucris.univie.ac.at/portal/en/publications/on-the-canonical-energy-of-weak-gravitational-fields-with-a-cosmological-constant--r(283b6f18-6308-411f-9eda-0fc30a5e03ae).html