2012/10/02 by Joseph Sultana, Demosthenes Kazanas, Jackson Levi Said · 2 citations
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Apsidal precession #Astronomy #Astrophysics #Classical mechanics #Conformal gravity #Conformal map #Conformal symmetry #Cosmological constant #Cosmology and Gravitation Theories #De Sitter universe #General relativity #Geometry #Geophysics and Gravity Measurements #Gravitation #Mathematical physics #Mathematics #Metric (unit) #Physics #Precession #Relativity and Gravitational Theory #Schwarzschild metric #Schwarzschild radius #Universe #gr-qc
paper · pdf · doi:10.1103/physrevd.86.084008
published as Phys. Rev. D 86, 084008 (2012) · 8 pages
openalex publication_date 2012/10/02 · arxiv created 2019/10/11 · arxiv updated 2019/10/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the perihelion shift of planetary motion in conformal Weyl gravity using the metric of the static, spherically symmetric solution discovered by Mannheim and Kazanas [Astrophys. J. 342, 635 (1989)]. To this end we employ a procedure similar to that used by Weinberg for the Schwarzschild solution, which has also been used recently to study the solar system effects of the cosmological constant \ensuremathΛ. We show that besides the general relativistic terms obtained earlier from the Schwarzschild--de Sitter solution, the expression for the perihelion shift includes a negative contribution which arises from the linear term \ensuremathγr in the metric. Using data for perihelion shift observations, we obtain constraints on the value of the constant \ensuremathγ similar to that obtained earlier using galactic rotational curves.