高导数引力理论宇宙动力学方程  

Universe dynamic equation of higher-derivation theory

作　　者：刘鑫[1] 陈贻汉[1] 

机构地区：[1]湖北大学物理学与电子技术学院,湖北武汉430062

出　　处：《湖北大学学报（自然科学版）》2003年第4期309-311,共3页Journal of Hubei University：Natural Science

摘　　要：利用高导数引力理论研究宇宙的演化.在Friedmann宇宙模型中,由高导数场方程导出宇宙动力学方程.此方程为宇宙标度因子关于时间的三阶非线性微分方程,并由能量-动量守恒及物态方程导出能量密度和宇宙标度因子的关系,最后比较了高导数引力理论动力学方程和标准动力学方程.The evolvement of cosmology is studied in the framework of higher-derivative theory of gravitation. The dynamic equation of universe is derived from the higher-derivative field equation of gravitation in the case of homogeneous universe. The dynamic equation is a nonlinearized three-order differential equation with respective to time, and the relation between density of energy and scalar factor is gotten from the conservation law of energy-momentum tensor and the equation of state. At last compare the higher-derivative dynamic equation with the standard dynamic equation.

关 键 词：高导数引力理论 宇宙动力学方程 场方程 Hubble常数 标度因子 

分 类 号：P159.2[天文地球—天文学] O412.1[理学—理论物理]