Singularities in self-similar spacetimes

Mathematics

Scientific paper

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Fluid Flow, Ideal Fluids, Lorentz Transformations, Minkowski Space, Singularity (Mathematics), Space-Time Functions, Geodesy, Lie Groups, Relativity

Scientific paper

It is shown that a common feature of all general relativistic
self-similar perfect fluids is that every orbit of the similarity group
possesses a singularity. This result is given as an application of a
more general result in Lorentzian geometry, which holds regardless of
dimension, physical fields or field equations.

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