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arXiv · 2406.02621

A new conformal quasi-local energy in general relativity

Puskar Mondal·Shing-Tung Yau
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Abstract

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.

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Puskar Mondal, Shing-Tung Yau. 2024-06-03. A new conformal quasi-local energy in general relativity. https://arxiv.org/abs/2406.02621

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