Velocity of sound in curved space-time

Details Velocity of sound in curved space-time Velocity of sound in curved space-time

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975svphj..18.1557p&link_type=abstract

Soviet Physics Journal, Volume 18, Issue 11, pp.1557-1559

Physics

Scientific paper

The small-perturbation method of E. M. Lifshits is used to derive expressions for the phase and group velocities of sound in matter described by the equation of state ɛ=3p in the curved 4-space of Fridman's cosmological model. It is inferred that the curvature of 4-space significantly influences the velocity of sound. Thus, the maximum value of the group velocity of sound in the given model exceeds the maximum value of the velocity of sound in flat 4-space for the same equation of state of matter; for matter of infinite density the velocity of sound is equal to zero at the initial instant of expansion of the universe. These results indicate that when the condition vso ≤c is taken as the criterion for the choice of equation of state of superdense matter, as for example in relativistic astrophysics, it is necessary to take into account the influence of the curvature of 4-space on the velocity of sound.

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