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Spacetime structure of self-similar spherically symmetric perfect fluid solutions
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We classify all spherically symmetric and homothetic spacetimes that are allowed kinematically by constructing them from a small number of building blocks. We then restrict attention to a particular dynamics, namely perfect fluid matter with the scale-free barotropic equation of state p = alpha mu where 0<alpha<1 is a constant. We assign conformal diagrams to all solutions in the complete classification of Carr and Coley, and so establish which of the kinematic possibilities are realized for these dynamics. We pay particular attention to those solutions which arise as critical solutions during gravitational collapse.
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Cited by 2 Pith papers
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Unveiling horizons in quantum critical collapse
Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.
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Critical Phenomena in Gravitational Collapse
An authoritative review of critical collapse, updated with results on nonspherical vacuum collapse and rigorous PDE blowup.
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