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- W1783996897 abstract "We discuss spherically symmetric perfect fluid solutions of Einstein's equations which have equation of state ($p=alpha mu$) and which are self-similar in the sense that all dimensionless variables depend only upon $zequiv r/t$. For each value of $alpha$, such solutions are described by two parameters and have now been completely classified. There is a 1-parameter family of solutions asymptotic to the flat Friedmann model at large values of z. These represent either black holes or density perturbations which grow as fast as the particle horizon; the underdense solutions may be relevant to the existence of large-scale cosmic voids. There is also a 1-parameter family of solutions asymptotic to a self-similar Kantowski-Sachs model at large z. These are probably only physically realistic for $-1 1/5$, there is a family of solutions which are asymptotically Minkowski. These asymptote either to infinite z, in which case they are described by one parameter, or to a finite value of z, in which case they are described by two parameters and this includes the ``critical'' solution for $alpha >0.28$. We discuss the stability of spherically symmetric similarity solutions to more general (non-self-similar) spherically symmetric perturbations." @default.
- W1783996897 created "2016-06-24" @default.
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- W1783996897 date "2000-03-02" @default.
- W1783996897 modified "2023-09-27" @default.
- W1783996897 title "Spherically symmetric self-similar solutions and their astrophysical and cosmological applications" @default.
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