f(R)引力理论中水星进动方程求解

Solution of mercury precession equation in f(R) gravitation theory

f(R)引力理论是对爱因斯坦引力理论进行修正的最热门理论之一,水星进动是对引力理论考察的经典方式.通过四维速度的归一化条件,得到特定f(R)引力的运动方程,并对方程各项进行数量级估计,再对该方程做各种简化处理,最后由计算机编程求出数值解.结果表明,由f(R)引力理论水星进动方程给出的进动值与实验观测值相吻合.

f （R） gravity theory is one of the most popular theories of modified Einstein gravity theory. Mercury precession is one of the classical manners to check gravity theory. By using the normalized condition of fourdimensional velocity, we get motion equation of a specialf（R） gravity. We estimate the magnitude of all terms of the equation, simplify the equation and get its numerical solution by using computer. The result shows that the precession value from mercury precession equation inf（R） gravity gheory agrees with that of observation.