Solutions of Conformal Gravity with Dynamical Mass Generation in the Solar System
Joshua Wood, William Moreau
Abstract
The field equations of Mannheim's theory of conformal gravity with dynamic mass generation are solved numerically in the interior and exterior regions of a model spherically symmetric sun with matched boundary conditions at the surface. The model consists of a generic fermion field inside the sun, and a scalar Higgs field in both the interior and exterior regions. From the conformal geodesic equations it is shown how an asymptotic gradient in the Higgs field causes an anomalous radial acceleration in qualitative agreement with that observed on the Pioneer 10/11, Galileo, and Ulysses spacecraft. At the same time the standard solar system tests of general relativity are preserved within the limits of observation.
Create a lesson
Related papers
An exact rotating black hole solution in Palatini Kalb-Ramond gravity
A. A. Araújo Filho
Internal translation gauging and local gravitational energy in Weyl gauge theory
Michael Hobson, Will Barker, Anthony Lasenby
Bessel-Hagen currents, reducibility charges, and local gravitational energy
Michael Hobson, Will Barker, Anthony Lasenby
Relativistic dynamical friction in Kerr-Schild coordinates
Zipeng Wang, Francesca Chadha-Day, Katy Clough et al.
The School on Gravity: from motion to commotion
Vitor Cardoso, Jose María Ezquiaga, Julio Parra-Martinez et al.
Binary Ellis-Bronnikov wormholes in 3+1 numerical relativity: mergers, fly-bys and gravitational waves
Nikita M. Shirokov, Ilya Nachevsky