High-Frequency Sound Waves to Eliminate a Horizon in the Mixmaster Universe

Details High-Frequency Sound Waves to Eliminate a Horizon in the Mixmaster Universe High-Frequency Sound Waves to Eliminate a Horizon in the Mixmaster Universe

Dec 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972phrvd...6.3390c&link_type=abstract

Physical Review D, vol. 6, Issue 12, pp. 3390-3396

Computer Science

Sound

8

Scientific paper

From the linear wave equation for small-amplitude sound waves in a curved space-time, there is derived a geodesiclike differential equation for sound rays to describe the motion of wave packets. These equations are applied in the generic, nonrotating, homogeneous closed-model universe (the "mixmaster universe," Bianchi type IX). As for light rays described by Doroshkevich and Novikov (DN), these sound rays can circumnavigate the universe near the singularity to remove particle horizons only for a small class of these models and in special directions. Although these results parallel those of DN, different Hamiltonian methods are used for treating the Einstein equations.

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