A construction of the general relativistic Boltzmann equation. (1984)

• Record Type: Journal Article
• Authors: Dolan, P.; Zenios, A. C.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 7:Number 3(1984)
• Page Start: 591
• Page End: 597
• Publication Date: 1984
• Subjects: general relativistic kinetic theory -- phase space -- Boltzmann distribution function; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171284000636
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : Our work depends essentially on the notion of a one-particle seven-dimensional state-space. In constructing a general relativistic theory we assume that all measurable quantities arise from invariant differential forms. In this paper, we study only the case when instantaneous, binary, elastic collisions occur between the particles of the gas. With a simple model for colliding particles and their collisions, we derive the kinetic equation, which gives the change of the distribution function along flows in state-space.