Abstract
The motion of a tachyon in the empty Schwarzschild solution outside a massm is discussed. It is shown that a tachyon falling radially inwards never reaches the space-time singularity at the origin. Instead, it is bounced back at a point inside the Schwarzschild radius. The causal and non-causal aspects of such a bounce are considered. It is shown that a tachyon dropped from a radial co-ordinate <2.56m always airives before it went in whereas a tachyon dropped from a radial co-ordinate >3.27m always arrives later than its starting time. The more general case of a tachyon with a finite angular momentum is also analyzed. The possible astrophysical consequences of the presence of tachyons near condensed or collapsing objects and black holes are qualitatively discussed.
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Narlikar, J.V., Dhurandhar, S.V. Tachyon trajectories in Schwarzschild’s space-time. Pramana - J. Phys. 6, 388–398 (1976). https://doi.org/10.1007/BF02872189
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DOI: https://doi.org/10.1007/BF02872189