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

Article

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

Chruściel P.T.; Hoque Sk J.; Maliborski M.; Smolka T.

Eur. Phys. J. C 81(8), 48 (2021)

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 theTrautman–Bondi mass proposed in Chru´sciel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).

Institute authors

Hoque, Sk Jahanur

Supported by

GACR 19-01850S — Black-hole and radiative spacetimes: exact methods

BibTeX

@article{UTF935,
  author        = {Chruściel P.T. and Hoque Sk J. and Maliborski M. and Smolka T.},
  title         = {{On the canonical energy of weak gravitational fields with a cosmological constant Λ ∈ R}},
  journal       = {Eur. Phys. J. C},
  volume        = {81},
  number        = {8},
  pages         = {48},
  year          = {2021},
  month         = {8},
  doi           = {10.1140/epjc/s10052-021-09350-y},
}