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Zero value of the schwarzschild mass for an asymptotically Euclidian system of gravitational waves

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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 metricds 2 =g 00 dt 2 −g αβ dx α dx β these conditions take a simple form: ∂0(detg αβ ) = 0 and (∂0 g αβ)(∂0 g αβ ) = 0.

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  1. Institute of High Energy Physics, Serpukhov, Moscow District, USSR

    V. N. Folomeshkin

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Folomeshkin, V.N. Zero value of the schwarzschild mass for an asymptotically Euclidian system of gravitational waves. Int J Theor Phys 12, 169–176 (1975). https://doi.org/10.1007/BF01807760

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