标题： 牛顿流体力学与广义相对论压强 显示英文标题

标题： Newtonian Hydrodynamics with General Relativistic Pressure

摘要： 我们给出了牛顿流体力学方程中广义相对论的压力修正项到非线性阶：这些是方程 (\ref{mass-conservation-Mink})-(\ref{Poisson-eq-Mink})。 推导是在零剪切规范下基于爱因斯坦引力的宇宙扰动完全非线性形式完成的。 修正项{\it 不同}改进了文献中许多先前建议的形式，这些形式大多基于直观推导。 我们通过与 (i) 非线性扰动理论、(ii) 第一阶后牛顿近似和 (iii) 特殊相对论极限的结果进行比较，并检查 (iv) 全局爱因斯坦方程的一致性来验证我们的结果。 显示英文摘要

摘要： We present the general relativistic pressure correction terms in Newtonian hydrodynamic equations to the nonlinear order: these are equations (\ref{mass-conservation-Mink})-(\ref{Poisson-eq-Mink}). The derivation is made in the zero-shear gauge based on the fully nonlinear formulation of cosmological perturbation in Einstein's gravity. The correction terms {\it differ} from many of the previously suggested forms in the literature based on hand-waving manners. We confirm our results by comparing with (i) the nonlinear perturbation theory, (ii) the first order post-Newtonian approximation, and (iii) the special relativistic limit, and by checking (iv) the consistency with full Einstein's equation.