Time symmetric initial data and Penrose's quasilocal mass

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Abstract
Some remarks of a systematic nature are made concerning the characterization of asymptotically flat solutions to the time-symmetric constraints by free data within the conformal approach. The Ricci tensor of the physical 3-metric gives rise to a symmetric, trace-free and divergence-free 2-tensor constructed from the data in a conformally invariant way. In the locally conformally flat case it is pointed out that 'quantities' constructed from this tensor are identical with those obtained by Tod (1983) from the Penrose quasilocal-mass construction.

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