Unsteady hydrodynamics of spherical gravitational collapse.

作者: A. F. Cheng

DOI: 10.1086/156030

关键词: SingularityFluid mechanicsFluid dynamicsShock waveCollapse (topology)Gravitational collapseMechanicsIsothermal processPhysicsConstant (mathematics)

摘要: Similarity solutions are obtained which describe the time evolution of spherical, self-gravitating gas clouds with initial density distribution rhoapprox.r/sup ..cap alpha../, where alpha..>-3 but otherwise arbitrary and pressure P=kapparho/sup ..gamma../, ..gamma.. is constant kappa along trajectory any fluid element. The case ..gamma..=1, alpha..=-2 isothermal studied by Shu. qualitative features collapse found Shu remain in more general case, 1 -3. For all 5/3.

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