Classical tests in brane gravity
S. Jalalzadeh, M. Mehrnia, H. R. Sepangi

TL;DR
This paper investigates how brane gravity modifications to the Schwarzschild metric affect Solar System tests, using observational data to constrain model parameters and explore implications for dark energy.
Contribution
It analyzes the impact of brane gravity terms on planetary motion and light bending, providing constraints on model parameters from Solar System experiments.
Findings
Constraints on linear term parameters from planetary anomalies
Potential insights into dark energy origins from solar system tests
Brane gravity effects are testable with current observational data
Abstract
The vacuum solutions in brane gravity differ from those in 4D by a number of additional terms and reduce to the familiar Schwarzschild metric at small distances. We study the possible roles that such terms may play in the precession of planetary orbits, bending of light, radar retardation and the anomaly in mean motion of test bodies. Using the available data from Solar System experiments, we determine the range of the free parameters associated with the linear term in the metric. The best results come from the anomalies in the mean motion of planets. Such studies should shed some light on the origin of dark energy via the solar system tests.
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