Abstract
This paper contains an account of the interaction of a quantized massive scalar field with the classicalc number gravitational field of a plane sandwich wave of arbitrary profile and polarization. It is shown that the time varying gravitational field of the wave produces no particles and the Feynman propagator for the problem is calculated exactly. This is used to show that any reasonable regularization of the vacuum expectation value of the energy momentum tensor of the field must vanish. This means that a gravitational wave far from its source will propagate without hindrance by quantum effects.
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Hawking, S. W.: Nature248, 30 (1974)
Hawking, S. W.: Commun. math. Phys.43, 199–220 (1975)
Gibbons, G. W.: Commun. math. Phys.44, 245–264 (1975)
Fulling, S., Parker, L.: Ann. Phys.87, 176 (1974)
Ellis, G. F. R., Hawking, S. W.: The large scale structure of spacetime C.U.P. (1974)
Schwinger, J.: Phys. Rev.82, 664 (1951)
Schwinger, J.: Proc. Nall. Acad. Sci.37, 452 (1951)
Pauli, W., Villars, F.: Rev. Mod. Phys.21, 434 (1949)
Zel'dovich, Ya. B., Starobinsky, A. A.: Sov. Phys. — J.E.T.P.34, 1159 (1972)
DeWitt, B., Brehme, R.: Ann. Phys.9, 220 (1960)
DeWitt, B., Utiyama, R.: J. Math. Phys.3, 608 (1962)
DeWitt, B.: In: DeWitt, C., DeWitt, B. (Eds.): Relativity, groups, and topology. Blackie 1964
Ehlers, J., Kundt, W.: In: Witten, L. (Ed.): Gravitation. Chichester: Wiley 1962
Penrose, R.: Rev. Mod. Phys.37, 215 (1965)
McClenaghen, R.: Proc. Cam. Phil. Soc.65, 139 (1969)
Friedlander, G.: Second order hyperbolic differential equations. C.U.P. (to be published)
Zauderer, E.: J. Inst. Math. Appl.8, 8 (1971)
Rosen, G.: Phys. Rev.128, 449 (1962)
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Gibbons, G.W. Quantized fields propagating in plane-wave spacetimes. Commun.Math. Phys. 45, 191–202 (1975). https://doi.org/10.1007/BF01629249
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DOI: https://doi.org/10.1007/BF01629249