Orbits of massless particles in the Schwarzschild metric: Exact solutions
Orbits of massless particles in the Schwarzschild metric: Exact solutions
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DOI：
10.1119/1.4866274
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发表时间：
2014-06-01
影响因子：
0.9
通讯作者：
Munoz, Gerardo
中科院分区：
文献类型：
--
作者：
Munoz, Gerardo
外Schwarzschild黑洞度规中测试粒子的全部轨道的求解问题，在椭圆函数形式下有一个精确解。在本文中，我们详细阐述了无质量粒子的情况，包括推导出光偏转的精确公式。结果表明，黑洞的质量可以确定从一个简单的关系角偏转和相邻的光线的时间延迟。(C)2014年美国物理教师协会
The problem of finding all the orbits of test particles in the exterior Schwarzschild black hole metric has an exact solution in terms of elliptic functions. In this paper, we develop in detail the case of massless particles, including a derivation of an exact formula for the deflection of light. It is shown that the mass of the black hole can be determined from a simple relationship between the angular deflection and the time delay of neighboring light rays. (C) 2014 American Association of Physics Teachers.