Direct and Exact Description of Null Geodesics in Schwarzschild Spacetime  

作　　者：Leo Morgovsky Leo Morgovsky(Johann Wolfgang Goethe-Universität Frankfurt am Main, Frankfurt, Germany)

机构地区：[1]Johann Wolfgang Goethe-Universitä t Frankfurt am Main, Frankfurt, Germany

出　　处：《Journal of High Energy Physics, Gravitation and Cosmology》2023年第1期234-244,共11页高能物理（英文）

摘　　要：Null geodesics for massless particles in Schwarzschild spacetime are obtained by direct integration of the trajectory equation in spatial coordinates without transformation to the inverse space. The results are classified following Chandrasekhar depending on the ratio of the impact parameter of the trajectory to its critical value. In the subcritical and supercritical cases the geodesics are expressed in terms of elliptic integrals of the first kind. Some results are formally different from the classical ones, but in fact equivalent to them, being at the same time more compact and descriptive.Null geodesics for massless particles in Schwarzschild spacetime are obtained by direct integration of the trajectory equation in spatial coordinates without transformation to the inverse space. The results are classified following Chandrasekhar depending on the ratio of the impact parameter of the trajectory to its critical value. In the subcritical and supercritical cases the geodesics are expressed in terms of elliptic integrals of the first kind. Some results are formally different from the classical ones, but in fact equivalent to them, being at the same time more compact and descriptive.

关 键 词：Black Holes Schwarzschild Metric Photon Trajectory Hawking Radiation 

分 类 号：O17[理学—数学]