Geodesic
Velocity addition and a closed time cycle in Lorentz-noninvariant theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 421-432 Cet article a éte moissonné depuis la source Math-Net.Ru

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In theories whose Lorentz invariance is violated by the presence of an external tensor of any rank, we show that a signal velocity, understood as the group velocity of a wave, is added to the velocity of the reference frame according to the standard relativistic rule for adding velocities. In the case where we have a superluminal signal, this observation allows creating a closed time cycle and thus coming to a conclusion about a causality violation even in the absence of relativistic invariance. We also reveal an optical anisotropy of a moving medium that is isotropic at rest.
Keywords: Lorentz-invariance violation, causality, superluminal propagation velocity, moving medium, closed time cycle. 
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A. E. Shabad. Velocity addition and a closed time cycle in Lorentz-noninvariant theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 187 (2016) no. 3, pp. 421-432. http://geodesic.mathdoc.fr/item/TMF_2016_187_3_a1/

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