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| Главные авторы: | , |
|---|---|
| Формат: | Preprint |
| Опубликовано: |
2024
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| Предметы: | |
| Online-ссылка: | https://arxiv.org/abs/2406.02621 |
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Оглавление:
- We construct new conserved quasi-local energies in general relativity using the formalism developed by \cite{CWY}. In particular, we use the optimal isometric embedding defined in \cite{yau,yau1} to transplant the conformal Killing fields of the Minkowski space back to the $ 2-$ surface of interest in the physical spacetime. For an asymptotically flat spacetime of order $1$, we show that these energies are always finite. Their limit as the total energies of an isolated system is evaluated and a conservation law under Einsteinian evolution is deduced.