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Superfluids support many different types of sound waves. We investigate therelation between the sound waves in a relativistic and a non-relativisticsuperfluid by using hydrodynamics to calculate the various sound speeds. Then,using a particular holographic scalar gravity realization of a stronglyinteracting superfluid, we compute first, second and fourth sound speeds as afunction of the temperature. The relativistic low temperature results forsecond sound differ from Landau's well known prediction for thenon-relativistic, incompressible case.

Sound modes in holographic superfluids