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中国物理学会期刊

一类类光测地线的加速度

CSTR: 32037.14.aps.53.1662

Acceleration of a kind of null geodesic

CSTR: 32037.14.aps.53.1662
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  • 类光测地线γ0(λ)与二维类空超曲面φ正交,λ为其仿射参量.假如在类光测地线γ0(λ)上存在一点r(r=γ0(λr))共轭于类空超曲面φ,则对于γ0(λ)上任一点q(q=γ0(λq))满足λq>λr,一定能把γ0连续变形成一条从φ到q的类时曲线.当产生类时曲线的变分矢量场不是类光测地线上的广义Jacobi场时,这些类时曲线在趋于类光测地线时,它们的固有加速度趋于无穷大.

     

    When a null geodesic γ0,orthogonal to a space-like two-surface φ,is from φ to q with a point r∈(φ,q)conjugate to φ along γ0(λ),there will be a variation of γ0(λ) which will give time-like curves from φ to q.This is a well-known theory in the famous bood.When the variation vector is not a generalized Jacobi field on the null geodesic γ0,the acceleration of these time-like curves approaches infinity as the time-like curves approach the null geodesic.

     

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