摘要
建立拉格朗日密度函数为L =-g(λR +αRμνRμν + βR2 -Lm)的R +R2 引力理论的多层球行星结构方程 ,即修正的Lane -Emden方程 ,并分别在多方指数N取 0和 1的情况下 ,求得结构方程的解析解 ,研究R+R2 引力理论对牛顿行星结构的修正 .
The equation for a multilayer spheric stellar structure,i.e.the modified Lane-Emden equation,based on a gravitational theory with Lagrangian L=-g(λR+αR μν R μν +βR 2-L m) is developed.The exact solutions of the structure equation are found in the cases of the polytropic index N=0 and N=1.The modification of the Newtonian stellar structure by R+R 2 gravitational theory is studied.
出处
《湖北大学学报（自然科学版）》
CAS
2000年第4期336-340,共5页
Journal of Hubei University：Natural Science
