# Collapse of Singular Isothermal Spheres to Black Holes

@article{Cai2005CollapseOS, title={Collapse of Singular Isothermal Spheres to Black Holes}, author={Mike J. Cai and Frank Hsia-San Shu}, journal={The Astrophysical Journal}, year={2005}, volume={618}, pages={438 - 450} }

We study the gravitational collapse of a relativistic singular isothermal sphere that is initially in unstable equilibrium. In the subsequent collapse, the dynamic spacetime is self-similar. The infall proceeds in an inside-out fashion, mimicking its Newtonian counterpart in star formation. A spherical expansion wave propagates outward at the speed of sound, initiating an inward collapse relative to local static observers. Outside of the expansion wave front, matter remains in local equilibrium…

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