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Reference8 articles.
1. J. Weber:Phys. Rev. Lett.,17, 1228 (1966);22, 1320 (1969);24, 276 (1970).
2. G. Feinberg (Phys. Rev.,159, 1089 (1967)) appealed to general relativity to counter objections that tachyons subvert the usual arguments leading to Einstein's definition of simultaneity in special relativity.M. Sachs, E. C. G. Sudarshan andO. Bilaniuk have had an exchange inPhysics today (Vol.22, No. 12, 47, 50 (1969)) concerning the form of the tachyon energy-momentum tensor and we shall see below that the conclusion that this tensor is real was in fact correct.
3. R. Adler, M. Bazin andM. Schiffer:Introduction to General Relativity (New York, 1965).
4. The tachyon “Schwarzschild” field has been studied byA. Peres:Phys. Lett.,31 A, 361 (1970), who also found a kind of shock wave. This work is independent of that described in the present article, which was performed prior to the publication of Peres' paper.
5. Y. Choquet-Bruhat:Ann. Inst. Henri Poincaré,8 A, 327 (1968);A. Komar:Phys. Rev.,137, B 462 (1965);A. Papapetrou andH. Tredar:Math. Nachr.,23, 371 (1962). These authors (and others) consider various kinds of discontinuities ing μνand establish matching conditions, etc., across characteristic surfaces. Necessarily they impose certain regularity conditions (C 0or square summable) which unfortunately preclude their use in the present case.
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