Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.241...15a&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 241, Nov. 1, 1989, p. 15-27.
Statistics
Computation
18
Computational Astrophysics, Cosmology, Evolution (Development), Gravitation Theory, Angular Momentum, Integral Equations, Kinetic Energy, Potential Energy
Scientific paper
The problem of minimizing the energy of a collisionless self-gravitating system under the only constraint of phase space volume conservation is reconsidered. With respect to the recent paper on the same subject by Wiechen, Ziegler & Schindler, three new results are presented: (1) a lower bound on the energy is established by using arguments which are both simpler and more general than those of these authors; (2) the lowest energy state is proven necessarily spherically symmetric (in the physical space), and (3) if the total angular momentum J of the system is fixed, there is no lowest energy state satisfying this further constraint if J unequal to 0.
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