The Vlasov–Poisson and Vlasov–Einstein systems model the motion of a self gravitating system such as a galaxy. The Vlasov–Poisson system is nonrelativistic. Jeans' theorem states that every spherically symmetric solution of the Vlasov–Poisson system that is independent of time may be expressed as a function of the two invariants, energy and angular momentum. This paper shows this is not the case for the Vlasov–Einstein system.
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Similar content being viewed by others Explore related subjectsDiscover the latest articles and news from researchers in related subjects, suggested using machine learning. Author information Authors and AffiliationsDepartment of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213 USA.¶E-mail: js5m@andrew.cmu.edu, , , , , , US
Jack Schaeffer
Received: 2 November 1998 / Accepted: 24 December 1998
About this article Cite this articleSchaeffer, J. A Class of Counterexamples to Jeans' Theorem for the Vlasov–Einstein System. Comm Math Phys 204, 313–327 (1999). https://doi.org/10.1007/s002200050647
Issue Date: July 1999
DOI: https://doi.org/10.1007/s002200050647
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