A class of counterexamples to Jeans' theorem for the Vlasov-Einstein system

Authors
Schaeffer, J
Citation
J. Schaeffer, A class of counterexamples to Jeans' theorem for the Vlasov-Einstein system, COMM MATH P, 204(2), 1999, pp. 313-327
Citations number
16
Categorie Soggetti
Physics
Journal title
COMMUNICATIONS IN MATHEMATICAL PHYSICS
ISSN journal
00103616 → ACNP
Volume
204
Issue
2
Year of publication
1999
Pages
313 - 327
Database
ISI
SICI code
0010-3616(199907)204:2<313:ACOCTJ>2.0.ZU;2-J
Abstract
The Vlasov-Poisson and Vlasov-Einstein systems model the motion of a self g ravitating system such as a galaxy. The Vlasov-Poisson system is nonrelativ istic. Jeans' theorem states that every spherically symmetric solution of t he Vlasov-Poisson system that is independent of time may be expressed as a function of the two invariants, energy and angular momentum, This paper sho ws this is not the case for the Vlasov-Einstein system.