Physics
Scientific paper
May 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974pthph..51.1368n&link_type=abstract
Progress of Theoretical Physics, Vol. 51, No. 5, pp. 1368-1376
Physics
Scientific paper
The aim of this paper is to remedy two defects of our formalism for dealing with the generation of sound from the primordial cosmic turbulence. One is the fact that the true retarded Green's function in the Friedmann universe to describe the propagation of sound waves to be generated has not explicitly been settled. Another is the fact that the cosmological counterpart of Crighton's formula for the intensity of sound at the center of a static turbulent fluid sphere has been derived by invoking the principle of reciprocity to that of Lighthill's intensity formula whose underlying condition cannot be satisfied in the real universe. It is shown that the refinement leads to a very simple formula for the intensity of sound at the center of the expanding turbulent fluid sphere within the acoustic event horizon, which shows further that the main contribution to the intensity comes from the acoustic past ``time-like'' region rather than from the acoustic past ``light-cone''.
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