Physics
Scientific paper
Feb 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrve..53.1375p&link_type=abstract
Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 53, Issue 2, February 199
Physics
Kinetic Theory, Exact Solutions, Stellar Dynamics And Kinematics
Scientific paper
An integral transform is derived which, for a system of stars characterized as a spherical equilibrium solution to the collisionless Boltzmann equation of general relativity, allows the reconstruction of a two-integral distribution function from moments of that distribution. Specifically, given a knowledge of the energy density ρ(r) and some constraint on the radial and tangential pressures PR(r) and PT(r), a two-integral distribution f0(E,J2) consistent with these moments can be computed as a contour integral in the complex plane. This prescription constitutes a straightforward generalization of a transform for the corresponding Newtonian systems developed recently by Qian and Hunter. It also generalizes earlier work by Fackerell for relativistic systems characterized by a one-integral distribution function, f0(E). This transform has potential applications for the modeling of dense galaxy cusps surrounding supermassive black holes, an enterprise that has recently assumed increased importance in view of high resolution photometry facilitated by the Hubble Space Telescope.
Kandrup Henry E.
Pogorelov Ilya V.
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