Hawking-Hayward quasi-local energy under conformal transformations
Angus Prain, Vincenzo Vitagliano, Valerio Faraoni, Marianne, Lapierre-L\'eonard
TL;DR
This paper derives a formula for how the Hawking-Hayward quasi-local energy changes under conformal transformations of spacetime, generalizing known results for related mass definitions.
Contribution
It provides a new, general formula for the conformal transformation of the Hawking-Hayward quasi-local energy, extending previous results for the Misner-Sharp-Hernandez mass.
Findings
Derived a general transformation formula for Hawking-Hayward energy
Recovered the known transformation for Misner-Sharp-Hernandez mass
Extended understanding of quasi-local energy behavior under conformal rescaling
Abstract
We derive a formula describing the transformation of the Hawking-Hayward quasi-local energy under a conformal rescaling of the spacetime metric. A known formula for the transformation of the Misner-Sharp-Hernandez mass is recovered as a special case.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.