Abstract
A class of asymptotically Euclidian space-times is shown to exist for which the Schwarzschild mass is equal to zero. The coordinate atlases of these space-times satisfy two additional conditions:\(\partial _\kappa ( - gg^{0_k } ) = 0\) and\(\Gamma _{ik}^0 \partial _0 g^{ik} - \Gamma _{ik}^k \partial _0 g^{0_i } = 0\). In aT-orthogonal metricds2 =g00dt2 −gαβdxαdxβ these conditions take a simple form: ∂0(detgαβ) = 0 and (∂0gαβ)(∂0gαβ) = 0.
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