论文标题
纽顿后与加利利协方差的扩张
Post-Newtonian expansion with Galilean covariance
论文作者
论文摘要
伽利亚引力源自标量电势和矢量。确定标量电势的泊松方程没有预期的伽利亚协方差。此外，有三个缺少方程来确定潜在向量。此外，我们要求他们具有加利利协方差。这些是论文中解决的问题。为了避免PPN方法和NCT的缺点，我们将它们合并为一个新框架。关键的想法是要注意田野扩展的每个学期都是伽利亚协变量或不变的人。预期的方程是通过Hilbert-Einstein功能的变化来推论的。该物质对功能的贡献是从Souriau的构象张量中得出的。我们获得了一个由四个非线性方程组成的系统，该系统通过渐近膨胀解决。
The Galilean gravitation derives from a scalar potential and a vector one. Poisson's equation to determine the scalar potential has no the expected Galilean covariance. Moreover, there are three missing equations to determine the potential vector. Besides, we require they have the Galilean covariance. These are the issues addressed in the paper. To avoid the drawbacks of the PPN approach and the NCT, we merge them into a new framework. The key idea is to take care that every term of the c expansion of the fields are Galilean covariants or invariants. The expected equations are deduced by variation of the Hilbert-Einstein functional. The contribution of the matter to the functional is derived from Souriau's conformation tensor. We obtain a system of four non linear equations, solved by asymptotic expansion.
