Exact conformally flat solutions of Einstein equations for neutral superfluids

Physics

Scientific paper

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Scientific paper

A family of exact conformally flat solutions of Einstein equations (with Λ term) is presented. They correspond to a class of relativistic neutral superfluids. The particular velocity field chosen and the field equations determine the thermodynamical variables of the superfluid and restrict the form of the equation of state. One of the solution provides a geometrical interpretation for merons. In principle, a measurement of the time change of the circulation quantum, would distinguish among the various cosmologies of the Dirac-Canuto type.

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