Advances in Theoretical and Mathematical Physics
Volume 22 (2018)
Quasi-local energy with respect to a static spacetime
Pages: 1 – 23
This article considers the quasi-local energy in reference to a general static spacetime. We follow the approach developed by the authors in [7, 9, 19, 20] and define the quasi-local energy as a difference of surface Hamiltonians, which are derived from the Einstein–Hilbert action. The new quasi-local energy provides an effective gauge independent measurement of how far a spacetime deviates away from the reference static spacetime on a finitely extended region.
P.-N. Chen is supported by NSF grant DMS-1308164, M.-T. Wang is supported by NSF grant DMS-1405152, Y.-K. Wang is supported by MOTS in Taiwan grant 105-2115-M-006-016-MY2, and S.-T. Yau is supported by NSF grants PHY-0714648 and DMS-1308244.