No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Vlasov equation and collisionless hydrodynamics adapted to curved spacetime
1.J. Ehlers, in General Relativity and Cosmology, edited by B. K. Sachs (Academic, New York, 1971), p. 1.
2.C. Cercignani and G. M. Kremer, The Relativistic Boltzmann Equation: Theory and Applications (Birkhäuser, Boston, 2002).
3.K. S. Thorne and D. Macdonald, Mon. Not. R. Astron. Soc. 198, 339 (1982).
9.D. Bini, P. Carini, and R. T. Jantzen, in Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity, edited by T. Piran (World Scientific, Singapore, 1998), p. 376;
10.D. Bini, F. de Felice, and R. T. Jantzen, in Nonlinear Gravitodynamics: The Lense-Thirring effect, edited by R. Ruffini and C. Sigismondi (World Scientific, Singapore, 2003), p. 119;
10.Proceedings of the First ICRA Network Workshop on the Lense-Thirring Effect, 1998.
11.T. H. Stix, Waves in Plasmas (AIP, New York, 1992).
16.For example, see the Appendix for comparison between Refs. 3 and 33, both of which are widely cited.
27.We deliberately avoid introducing the dual space and differential forms; otherwise, see, e.g., Chap. 8 in Ref. 28.
28.C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, San Francisco, 1973).
29.S. Weinberg, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity (Wiley, New York, 1972).
30.L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon, New York, 1971).
31.G. Cognola, L. Vanzo, and S. Zerbini, Gen. Relativ. Gravit. 18, 971 (1986).
34. can be understood as the Lie derivative along ; see also the Appendix.
35.E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Pergamon, New York, 1981).
36.Strictly speaking, and are three-forms (Ref. 14).
37.The sign difference in the definition of from Ref. 14 is due to the difference in the metric signatures.
39.C. Oberman, “On the correspondence between solutions of the collisionless equation and the derived moment equations,” PPPL Technical Report No. Matt-57, 1960.
40.I. B. Bernstein and S. K. Trehan, Nucl. Fusion 1, 3 (1960).
Article metrics loading...
Full text loading...
Most read this month