1997/12/19 by Dieter R. Brill, Deepak Goel · 1 voice · 2 citations
Physics and Astronomy · #Angular momentum #Bending #Experimental and Theoretical Physics Studies #General relativity #Newtonian fluid #Perturbation (astronomy) #Precession #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #Theory of relativity #gr-qc
paper · pdf · doi:10.1119/1.19255
published as Am.J.Phys. 67 (1999) 316 · 9 pages, LaTeX (Revtex). Submitted to Am. J. Phys
arxiv created 1997/12/19 · openalex publication_date 1999/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The standard General Relativity results for precession of particle orbits and for bending of null rays are derived as special cases of perturbation of a quantity that is conserved in Newtonian physics, the Runge–Lenz vector. First, this method is applied to give a derivation of these General Relativity effects for the case of the spherically symmetric Schwarzschild geometry. Then the lowest order correction due to an angular momentum of the central body is considered. The results obtained are well known, but the method used is rather more efficient than that found in the standard texts, and it provides a good occasion to use the Runge–Lenz vector beyond its standard applications in Newtonian physics.