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# Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics

@inproceedings{Mathematisches1998CompactSO, title={Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics}, author={Gerhard Rein Mathematisches}, year={1998} }

- Published 1998

Equilibrium states in galactic dynamics can be described as stationary solutions of the Vlasov-Poisson system, which is the non-relativistic case, or of the Vlasov-Einstein system, which is the relativistic case. To obtain spherically symmetric stationary solutions the distribution function of the particles (stars) on phase space is taken to be a function Φ(E,L) of the particle energy and angular momentum. We give a new condition on Φ which guarantees that the resulting steady state has finite… CONTINUE READING

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