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- W2118414986 abstract "As a sequel to previous papers on hi-scalar propagators in the Friedmann universes and a special Kasner universe (whose underlying space-time is flat), their counterparts for a massless scalar field in some Bianchi-type I universe (which is intrinsically curved and anisotropic) are derived by means of Hadamard's procedure and ours, the latter of which becomes inevitable in the realm of quantized field. The retarded propagator thus obtained is applied to the generation of the scalar field from a point source and a spatially uniform distribution of sources, respectively. In the former case, the luminosity formula for a point source is derived, which is an anisotropic version of Robertson's formula in the Fried mann universes. In the latter case, it is shown that the scalar field may behave as either a perfect fluid obeying Zel'dovich's hardest equation of state or an imperfect fluid whose equation of state violates the energy condition. Implication of the above three works on the occasion of quantizing the scalar field is also touched upon." @default.
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- W2118414986 date "1977-01-01" @default.
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- W2118414986 title "Propagators for a Scalar Field in Some Bianchi-Type I Universe" @default.
- W2118414986 cites W1980851479 @default.
- W2118414986 doi "https://doi.org/10.1143/ptp.57.67" @default.
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