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Generalized Misner-Sharp quasilocal mass in Einstein-Gauss-Bonnet gravity

Generalized Misner-Sharp quasilocal mass in Einstein-Gauss-Bonnet gravity

We investigate properties of a quasilocal mass in a higher-dimensional spacetime having symmetries corresponding to the isomertries of an ($n\ensuremath{-}2$)-dimensional maximally symmetric space in Einstein-Gauss-Bonnet gravity in the presence of a cosmological constant. We assume that the Gauss-Bonnet coupling constant is non-negative. The quasilocal mass was recently defined by one …