Wave equation of the scalar field and superfluids

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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Accepted for publication in Modern Physics Letters A

Scientific paper

10.1142/S0217732309032162

The new formal analogy between superfluid systems and cosmology, which emerges by taking into account the back-reaction of the vacuum to the quanta of sound waves \cite{noi}, enables us to put forward some common features between these two different areas of physics. We find the condition that allows us to justify a General Relativity (GR) derivation of the hydrodynamical equation for the superfluid in a four-dimensional space whose metric is the Unruh one \cite{Unruh}. Furthermore we show how, in the particular case taken into account, our hydrodynamical equation can be deduced within a four-dimensional space from the wave equation of a massless scalar field.

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