Conformal Weyl gravity and perihelion precession

Abstract

We investigate the perihelion shift of planetary motion in conformal Weyl gravity using the metric of the static, spherically symmetric solution discovered by Mannheim \& Kazanas (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 $\Lambda$. 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 $\gamma r$ in the metric. Using data for perihelion shift observations we obtain constraints on the value of the constant $\gamma$ similar to that obtained earlier using galactic rotational curves.

8 pages

References in corpus (11)

• Relativistic gravitation theory for the MOND paradigm
• The geodesic structure of the Schwarzschild Anti-de Sitter black hole
• Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
• Model for gravity at large distances
• Classical tests for Weyl gravity: deflection of light and time delay
• Standard Clocks, Orbital Precession and the Cosmological Constant
• Using globular clusters to test gravity in the weak acceleration regime
• Light deflection in Weyl gravity: constraints on the linear parameter
• Light deflection in Weyl gravity: critical distances for photon paths
• Analytical formulas for gravitational lensing: higher order calculation
• Exact Static Cylindrical Solution to Conformal Weyl Gravity

Cited by in corpus (40)

• Solar System tests in $f(T)$ gravity
• Weyl gravity as general relativity
• Exact gravitational lensing in conformal gravity and Schwarzschild-de Sitter spacetime
• Coupling matter and curvature in Weyl geometry: conformally invariant $f\left(R,L_m\right)$ gravity
• Null paths on a toroidal topological black hole in conformalWeyl gravity
• Kerr Metric, Geodesic Motion, and Flyby Anomaly in Fourth-Order Conformal Gravity
• Study of the geodesic equations of a spherical symmetric spacetime in conformal gravity
• Astrophysical Gravitational Waves in Conformal Gravity
• Evading Derrick's theorem in curved space: Static metastable spherical domain wall
• Analytic treatment of complete geodesics in a static cylindrically symmetric conformal spacetime
• Conformal gravity does not predict flat galaxy rotation curves
• Weyl relativity: A novel approach to Weyl's ideas
• Coherent states for generalized uncertainty relations as Tsallis probability amplitudes: new route to non-extensive thermostatistics
• Gravitomagnetic effects in conformal gravity
• Massive neutral particles on heterotic string theory
• Matter Accretion onto a Conformal Gravity Black Hole
• Testing Weyl Gravity at Galactic and Extra-galactic Scales
• The covariant approach to static spacetimes in Einstein and extended gravity theories
• Alternative gravity rotation curves for the Little Things Survey
• Precessional angular velocity and field strength in the complex octonion space
• Gravitational Rutherford scattering and Keplerian orbits for electrically charged bodies in heterotic string theory
• Globular clusters as a probe for Weyl Conformal Gravity
• Hawking radiation from rotating AdS black holes in conformal gravity
• General relativity as a biconformal gauge theory
• Astrophysical Tests of Kinematical Conformal Cosmology in Fourth-Order Conformal Weyl Gravity
• Modified gravity from Weyl connection and the $f(R,\mathcal{A})$ extension
• Newman-Penrose formalism and exact vacuum solutions to conformal Weyl gravity
• Motion of Particles in Solar and Galactic Systems by Using Neumann Boundary Condition
• Focusing of world-lines in Weyl gravity
• Aspects of Gravitational Wave/Particle Duality: Bulk Torsion $\leftrightarrow$ Boundary Gravity Correspondence
• Probing dark fluids and modified gravity with gravitational lensing
• Jacobi stability of circular orbits around conformally invariant Weyl gravity black holes
• Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions
• Photon paths in the hyperbolic topological black hole spacetime of conformal Weyl gravity
• Charged C-metric in conformal gravity
• Hawking radiation from nonrotating singularity-free black holes in conformal gravity
• Perspectives of Perihelion Precession in Torsion Modified Gravity
• A `Third' Quantization Constructed for Gauge Theory of Gravity
• Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
• Generalized Eddington--Finkelstein Coordinates and Exact Vaidya-Type Solutions in Weyl Conformal Gravity