APPROXIMATING LIGHT RAYS IN THE SCHWARZSCHILD FIELD
APPROXIMATING LIGHT RAYS IN THE SCHWARZSCHILD FIELD
复制标题
施瓦茨场中的近似光线
DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
O. Semerák
中科院分区：
文献类型：
--
作者：
O. Semerák
一个简短的公式，建议近似的史瓦西场的光子轨迹比其他简单的处方从文献中。我们比较它与各种“低阶竞争者”，即，与以下的精确公式为小M，其中一个结果的基础上伪牛顿的潜力，与适当调整的双曲线，并与有效的和经常采用的近似Beloborodov。我们主要关心的是在有限半径的光子轨迹的形状，但渐近行为也进行了讨论，重要的透镜。一个例子表明，新建议的近似是可用的，非常准确的实际解决射线偏转练习。
A short formula is suggested that approximates photon trajectories in the Schwarzschild field better than other simple prescriptions from the literature. We compare it with various “low-order competitors,” namely, with those following from exact formulas for small M, with one of the results based on pseudo-Newtonian potentials, with a suitably adjusted hyperbola, and with the effective and often employed approximation by Beloborodov. Our main concern is the shape of the photon trajectories at finite radii, yet asymptotic behavior is also discussed, important for lensing. An example is attached indicating that the newly suggested approximation is usable—and very accurate—for practically solving the ray-deflection exercise.