An approximate theory for the core collapse of two-component gravitating systems

Details An approximate theory for the core collapse of two-component gravitating systems An approximate theory for the core collapse of two-component gravitating systems

Apr 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978apj...221..567l&link_type=abstract

Astrophysical Journal, Part 1, vol. 221, Apr. 15, 1978, p. 567-579.

Astronomy and Astrophysics

Astrophysics

41

Astronomical Models, Gravitational Collapse, Star Clusters, Binary Stars, Energy Transfer, Evaporation, Globular Clusters, Many Body Problem, Mathematical Models, Monte Carlo Method, Virial Theorem

Scientific paper

An approximate theory for the dynamical evolution of the central regions of an isolated spherical star cluster containing stars of two different masses is proposed, based on the assumption that a synthesis of the theory of evaporative core contraction and the theory of energy exchange between different mass groups can be used to model the main features of the core evolution of large-N isolated gravitating systems containing 'light' and 'heavy' particles. A mean-field treatment of a system of point masses is given, and the endpoint evolution of the collapsing inner subsystem of heavy bodies is considered. Both the simple theory of core collapse and the competing endpoint processes are applied to globular clusters, and numerical results are presented for 10 different models. It is suggested that a coalesced object of some tens of solar masses might be created in the first core collapse of a globular cluster, but the formation of a massive black hole larger than 100 solar masses is unlikely.

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