On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ 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 $$\varLambda >0$$ Λ > 0 the energy diverges, but a renormalised formu...
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2021-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09350-y |
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doaj-c986e5a7235c4ea09d44f399719f5f0f2021-08-08T11:13:26ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-08-0181814810.1140/epjc/s10052-021-09350-yOn the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ RP. T. Chruściel0Sk J. Hoque1M. Maliborski2T. Smołka3University of Vienna, Gravitational Physics, BoltzmanngasseInstitute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, V Holešovičkách 2University of Vienna, Gravitational Physics, BoltzmanngasseDepartment of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Pasteura 5Abstract 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 $$\varLambda >0$$ 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).https://doi.org/10.1140/epjc/s10052-021-09350-y |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. T. Chruściel Sk J. Hoque M. Maliborski T. Smołka |
| spellingShingle |
P. T. Chruściel Sk J. Hoque M. Maliborski T. Smołka On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ R European Physical Journal C: Particles and Fields |
| author_facet |
P. T. Chruściel Sk J. Hoque M. Maliborski T. Smołka |
| author_sort |
P. T. Chruściel |
| title |
On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ R |
| title_short |
On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ R |
| title_full |
On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ R |
| title_fullStr |
On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ R |
| title_full_unstemmed |
On the canonical energy of weak gravitational fields with a cosmological constant $$\varLambda \in \mathbb {R}$$ Λ ∈ R |
| title_sort |
on the canonical energy of weak gravitational fields with a cosmological constant $$\varlambda \in \mathbb {r}$$ λ ∈ r |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2021-08-01 |
| description |
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 $$\varLambda >0$$ 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). |
| url |
https://doi.org/10.1140/epjc/s10052-021-09350-y |
| work_keys_str_mv |
AT ptchrusciel onthecanonicalenergyofweakgravitationalfieldswithacosmologicalconstantvarlambdainmathbbrlr AT skjhoque onthecanonicalenergyofweakgravitationalfieldswithacosmologicalconstantvarlambdainmathbbrlr AT mmaliborski onthecanonicalenergyofweakgravitationalfieldswithacosmologicalconstantvarlambdainmathbbrlr AT tsmołka onthecanonicalenergyofweakgravitationalfieldswithacosmologicalconstantvarlambdainmathbbrlr |
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1721216166055116800 |