Collapse of Singular Isothermal Spheres to Black Holes

  title={Collapse of Singular Isothermal Spheres to Black Holes},
  author={Mike J. Cai and Frank Hsia-San Shu},
  journal={The Astrophysical Journal},
  pages={438 - 450}
  • M. CaiF. Shu
  • Published 2005
  • Physics
  • The Astrophysical Journal
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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