Authors: G. Malczewski, D. Selig
This work delves into three papers that address the topic of light being deflected by gravitating bodies, or alternately, light following geodesic paths through space-time. Einstein achieved public notoriety for his successful prediction that light would be deflected when passing close to the Sun, with his theory of General Relativity providing the foundation for an accurate estimate of the angle of deflection. However, 200 years prior to this Newton also predicted that light would be deflected by massive bodies such as our Sun. Newton did not attempt a calculation, but subsequently Johann Soldner and Henry Cavendish used Newtonian principles to study the degree of deflection.In this paper we explore the three efforts, providing readers with a consolidated view of this topic, and a comprehensive analysis of the calculations that support the various approaches to estimating the deflection of a photon in the vicinity of a massive body. While it is clear that General Relativity provides the most accurate, and the overwhelmingly accepted solution, we provide details for the Newtonian efforts for historical perspective. We focus on Soldner and Cavendish first for this historic perspective, and then delve into the complexities of the Einstein General Relativity calculation.We envision the target audience for this paper as undergraduate/early graduate students in math, physics, or astronomy, who have an interest in exploring the topic of light deflection. We also view this as a course outline for a professor that would like to offer a seminar on this topic.
Comments: 47 Pages. Additional minor mathematical typos were corrected.
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