How general is the global density slope–anisotropy inequality?

  title={How general is the global density slope–anisotropy inequality?},
  author={Luca Ciotti and Lucia Morganti},
  journal={Monthly Notices of the Royal Astronomical Society},
  • L. Ciotti, L. Morganti
  • Published 11 June 2010
  • Physics, Mathematics
  • Monthly Notices of the Royal Astronomical Society
Following the seminal result of An & Evans, known as the central density slope– anisotropy theorem, successive investigations unexpectedly revealed that the density slope–anisotropy inequality holds not only at the center, but at all radii in a very large class of spherical systems whenever the phase–space distribution function is positive. In this paper we derive a criterion that holds for all spherical systems in which the augmented density is a separable function of radius and potential… Expand
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