2024/06/03 by Puskar Mondal, Shing–Tung Yau, Mondal, Puskar +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.2406.02621
We construct new conserved quasi-local energies in general relativity using the formalism developed by \citeCWY. In particular, we use the optimal isometric embedding defined in \citeyau,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.