Abstract

Spacetimes admitting a three-parameter group of motions multiply transitive on two-dimensional spacelike orbits allow construction of a simple geometrical invariant out of the magnitudes of Killing fields, their gradients, and the metric. We show that this invariant covariantizes and geometrizes certain forms of quasilocal introduced and discussed in the literature, in particular, Misner's in spherical symmetry and Taub's mass in plane symmetry.

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