Nonrotating and nonexpanding perfect fluids.

Physics

Scientific paper

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General Relativity

Scientific paper

It is fairly well-known that nonstationary spacetimes exist which are filled with a nonrotating and nonexpanding perfect fluid, provided the fluid does not admit an equation of state. It is less well-known that the same is true when an equation of state does exist. Even when all possible invariants of a perfect fluid solution depend on a single spatial coordinate only, the corresponding solutions need not be stationary.

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