When do star clusters have unphysical distribution functions

Details When do star clusters have unphysical distribution functions When do star clusters have unphysical distribution functions

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jpha...10.1897s&link_type=abstract

Journal of Physics A - Mathematical and General, vol. 10, Nov. 1977, p. 1897-1903.

Physics

1

Distribution Functions, Relativistic Velocity, Star Clusters, Star Distribution, Isotropism, Phase-Space Integral, Velocity Distribution

Scientific paper

It is sometimes impossible to construct a relativistic star cluster with the same structure as a given relativistic fluid sphere. The reason is the unphysical nature of the distribution function which is sometimes negative in part of phase space or sometimes contains nonintegrable singularities. A simple test is derived that can be applied to a given fluid sphere to provide a set of sufficient conditions for the distribution function to be unphysical. The test is applied to some fluid spheres and clusters that have been studied in the literature.

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