Summary
We investigate how to incorporate the tachyon corridor, that is a preferred spatial direction, in space-time described by a Robertson-Walker metric. We also look at the effects of local gravitational fields on the corridor. The requirement of avoiding causal loops allows us to reach conclusions rather independent of any specific model of the corridor.
Riassunto
Si studia come inserire il corridoio tachionico, cioè una descrizione spaziale preferenziale, nello-spazio tempo descritto da una metrica di Robertson-Walker. Si esaminano anche gli effetti di campi gravitazionali locali sul corridoio. L'esigenza di evitare cappi causali permette di raggiungere conclusioni abbastanza indipendenti da qualsiasi modello specifico del corridoio.
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References
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|a|<1 ifk=1.
One might argue that homogeneity could be preserved by merely requiring thatV′ i(r)∼-A i j(a)V 3(r) withA i j a translation-dependent rotation matrix. If such were the case, however, those matrices would have to represent the group of isometries of the space, which isSO 4 whenk=1 andSO 3,1 whenk=−1. But this is impossible, since these groups (over the real numbers) have no normal subgroups.
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This result was obtained in ref. (18).
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Work supported in part by the Natural Science and Engineering Research Council of Canada.
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Marchildon, L. Gravity and the tachyon corridor. Nuov Cim B 60, 55–66 (1980). https://doi.org/10.1007/BF02723067
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DOI: https://doi.org/10.1007/BF02723067