Stability criterion for self-similar solutions with perfect fluids in general relativity (Q2769506)

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scientific article; zbMATH DE number 1701534
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Stability criterion for self-similar solutions with perfect fluids in general relativity
scientific article; zbMATH DE number 1701534

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    Stability criterion for self-similar solutions with perfect fluids in general relativity (English)
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    11 November 2002
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    self-similar relativistic fluids
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    kink mode
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    This article studies the stability of self-similar solutions with perfect fluids that obey the equation of state \(P=k\rho\) against the so-called kink mode. The kink mode is a weak discontinuity which diverges in a finite time interval. It can occur at sonic points. A range of the physical parameters is given, where the solutions are stable.
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