J. C. Maxwell, B. Riemann and H. Poincare have proposed the idea that all microscopic particles are sink flows in a fluidic aether. Following this research program, a previous theory of gravitation based on a mechanical model of vacuum and a sink flow model of particles is generalized by methods of special relativistic continuum mechanics. In inertial coordinate systems, we construct a tensorial potential which satisfies the wave equations. Inspired by the equations of motion of a test particle, a definition of a metric tensor of a Riemannian spacetime is introduced. Applying Fock's theorem, generalized Einstein's equations in inertial systems are derived based on some assumptions. These equations reduce to Einstein's equations in case of a weak field in harmonic coordinate systems.

中文翻译：

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基于粒子汇流模型推导惯性系统中广义爱因斯坦引力方程

JC Maxwell、B. Riemann 和 H. Poincare 提出了所有微观粒子都是流体以太中的汇流的想法。根据该研究计划，先前基于真空力学模型和粒子汇流模型的引力理论通过特殊相对论连续介质力学的方法进行推广。在惯性坐标系中，我们构造了满足波动方程的张量势。受测试粒子运动方程的启发，引入了黎曼时空度量张量的定义。应用福克定理，基于一些假设推导出惯性系统中的广义爱因斯坦方程。在谐波坐标系中弱场的情况下，这些方程简化为爱因斯坦方程。