论文标题
牛顿后动力学理论
Post-Newtonian Kinetic Theory
论文作者
论文摘要
在第二个纽顿后近似中，在存在引力场存在下的相对论气体的动力学理论。相应的Boltzmann方程是根据沿粒子世界线的适当时间的一粒子分布函数的演变确定的。从第二个牛顿后近似值中的Maxwell-jüttner分布函数的平衡知识中，获得了粒子四流和能量巨孔张量的成分。第二次牛顿后近似中的质量密度，质量能密度和动量密度的欧拉水动力方程是从玻尔兹曼方程式确定的。结果表明，质量和质量能密度的流体动力方程的组合导致在第一个牛顿后近似值中内部能量密度的水动力方程。
A kinetic theory for relativistic gases in the presence of gravitational fields is developed in the second post-Newtonian approximation. The corresponding Boltzmann equation is determined from the evolution of the one-particle distribution function with respect to the proper time along the world line of the particle. From the knowledge of the equilibrium Maxwell-Jüttner distribution function in the second post-Newtonian approximation the components of the particle four-flow and energy-momentum tensor are obtained. The Eulerian hydrodynamic equations for the mass density, mass-energy density and momentum density in the second post-Newtonian approximation are determined from the Boltzmann equation. It is shown that the combination of the hydrodynamic equations of mass and mass-energy densities leads to the hydrodynamic equation for the internal energy density in the first post-Newtonian approximation.
