Summary
New Weyl-type space-times, solutions of the Einstein equations are found which satisfy the causality conditions as the Lichtenstein theorem and the asymptotic boundary conditions. The new solutions contain as a special case the Schwarzschild and the Voorhees solutions and can be considered, like the Voorhees solutions, as the exterior space-time of a static axially symmetric body.
Riassunto
Si trovano nuovi spazi-tempo del tipo di Weyl, soluzioni delle equazioni di Einstein, che soddisfano le condizioni di causalità come il teorema di Lichtenstein e le condizioni di limite asimptotico. Le nuove soluzioni contengono come caso speciale le soluzioni di Schwarzschild e di Voorhees e possono essere considerate, come le soluzioni di Voorhees, come lo spazio-tempo esterno di un corpo simmetrico assialmente statico.
Резюме
Определяются решения уравнений Эйнштейна, новые тнпы пространства-времени Вейля, которые удовлетворяют условиям причинности в виде теоремы Лихтенстейна и асимптотическим граничным условиям. Новые решения содержат как частный случай решения Шварцшильда и Ворхеса. Эти решения, подобно решениям Ворхеса, можно рассматривать как внешнее пространствовремя для статического аксиально симметричного тела.
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References
R. Meinhardt:Riv. Nuovo Cimento,6, 405 (1976).
H. Kuenzle:Local and global methods in general relativity, inPittsburgh Conference (Berlin).
B. Vorhees:Phys. Rev. D,2, 2119 (1970).
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Meinhardt, J. New Weyl-type vacuum space-times of Einstein's gravitational theory. Nuov Cim B 36, 156–164 (1976). https://doi.org/10.1007/BF02725234
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DOI: https://doi.org/10.1007/BF02725234