Spacetimes admitting a three-parameter group of isometries and quasilocal gravitational mass

Details Spacetimes admitting a three-parameter group of isometries and quasilocal gravitational mass Spacetimes admitting a three-parameter group of isometries and quasilocal gravitational mass

May 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvd..41.3252z&link_type=abstract

Physical Review D (Particles and Fields), Volume 41, Issue 10, 15 May 1990, pp.3252-3254

Physics

25

Scientific paper

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 mass'' introduced and discussed in the literature, in particular, Misner's mass in spherical symmetry and Taub's ``mass'' in plane symmetry.

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