The Brown-York quasilocal energy transforms under conformal rescalings via Eq. (16) and under generalized Kerr-Schild maps via Eq. (34) in spherical symmetry, with no simple closed formula analogous to the Misner-Sharp-Hernandez case.
Quasilocal mass and multipole expansion in scalar-tensor gravity
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abstract
A generalization of the Hawking-Hayward quasilocal mass to scalar-tensor gravity is compared, in vacuo and for asymptotically flat stationary geometries, with a recent multipole expansion of the gravitational field. The quasilocal mass seen at spatial infinity coincides with the monopole term, lending credibility to this construct.
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gr-qc 1years
2019 1verdicts
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Spacetime mappings of the Brown-York quasilocal energy
The Brown-York quasilocal energy transforms under conformal rescalings via Eq. (16) and under generalized Kerr-Schild maps via Eq. (34) in spherical symmetry, with no simple closed formula analogous to the Misner-Sharp-Hernandez case.