具有共轭点的类光测地线的变分  

VARIATION OF A NULL GEODESIC WITH CONJUGATE POINTS ON IT

作　　者：田贵花[1] 赵峥[1] 

机构地区：[1]北京师范大学物理学系

出　　处：《北京师范大学学报（自然科学版）》2003年第4期494-498,共5页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目 (10 0 730 0 2 )

摘　　要：在广义相对论中有一条重要的定理 :如果一条类光测地线γ0 (λ)在 (p ,q)间存在一点r沿γ0 (λ)共轭于 p ,那么γ0 (λ)的变分将给出连接 p ,q的类时曲线 .证明了这样得到的类时曲线趋于类光测地线时 ,它的固有加速度趋于无穷大 .In general relativity, there is an important theorem that gives a null geodesic γ_0(λ ) with a point r in ( p,q ) conjugate to p along γ_0(λ ) , there will be a variation of γ_0(λ ) which will give a time-like curve from p to q . It is proved that the time-like curves coming from the above-mentioned variation have a proper acceleration approaching infinity as the time-like curve approaches the null geodesic.

关 键 词：类光测地线 共轭点 变分 类时曲线 

分 类 号：P145.8[天文地球—天体物理]