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Positivity of energy in $$n$$-dimensional Lorentzian spaces. (English) Zbl 0583.53058
The author generalizes his earlier result [ibid. 9, 243-253 (1985; Zbl 0574.53056)] that the total energy momentum vector in a five-dimensional Lorentzian space is a future pointing non-space-like vector (subject to certain conditions on the metric) to n dimensions. It turns out to be necessary to consider the cases of even/odd dimensions separately.
Reviewer: C.W.Kilmister

##### MSC:
 53B50 Applications of local differential geometry to the sciences 83E15 Kaluza-Klein and other higher-dimensional theories 83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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##### References:
 [1] TaubA. H.,Lett. Math. Phys. 9, 243-253 (1985). · Zbl 0574.53056 · doi:10.1007/BF00402837 [2] Taub, A. H., to appear. [3] NesterJ. M.,Phys. Lett. 83A, 241 (1981).
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