Collision-free gases in static space-times. (English) Zbl 0614.76128
The authors established relationships between the space-time geometry and the kinematics and dynamics of the gas under the following three assumptions: (1) The gas is a one-component collision-free without charge. (2) The space-time geometry is static and spherical symmetric. (3) The distribution function is invariant under the \(G_ 4\) of motions.
This paper is based on a previous paper by the authors [see the review above (Zbl 0614.76127)] in which the same problem was considered for spatially homogeneous and locally rotationally symmetric space-times.
This paper is based on a previous paper by the authors [see the review above (Zbl 0614.76127)] in which the same problem was considered for spatially homogeneous and locally rotationally symmetric space-times.
Reviewer: K.L.Duggal
MSC:
76Y05 | Quantum hydrodynamics and relativistic hydrodynamics |
82B40 | Kinetic theory of gases in equilibrium statistical mechanics |
83C40 | Gravitational energy and conservation laws; groups of motions |
76N15 | Gas dynamics (general theory) |
Keywords:
Einstein-Liouville equations; perfect fluid; invariant Einstein-Maxwell- Liouville solutions; charged gas; invariant electromagnetic potential; Liouville’s equation; static space-times; self-gravitating gas; collision-free gases; static spherical symmetric spaces; groups of motion; space-time geometry; dynamics of the gas; distribution functionCitations:
Zbl 0614.76127References:
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