Guihua Tian, Zhao Zheng
Abstract
Confined to the second derivative of the variation of a null geodesic, the proper acceleration of the timelike curves obtained from the variation goes infinity as they approach the null geodesic except that the variation vector is a generalized Jacobi field on the null geodesic and the second variation β2 is constant on the null geodesic.
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Confined to the second derivative of the variation of a null geodesic, the proper acceleration of the timelike curves obtained from the variation goes infinity as they approach the null geodesic except that the variation vector is a generalized Jacobi field on the null geodesic and the second variation β2 is constant on the null geodesic.
Key concepts: Geodesic, Geodesics in general relativity, Null (SQL), Variation (astronomy), Mathematics, Geodesic map, Mathematical analysis, Pure mathematics