Phys. Rev. D 6, 3390–3396 (1972)High-Frequency Sound Waves to Eliminate a Horizon in the Mixmaster UniverseReceived 23 June 1972; published in the issue dated 15 December 1972 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. © 1972 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.6.3390
DOI:
10.1103/PhysRevD.6.3390
PACS:
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