Solar system tests of brane world models

TL;DR

This paper examines classical solar system tests of general relativity within brane world models, using observational data to constrain the parameters of the Dadhich et al. solution that incorporates extra-dimensional effects.

Contribution

It applies classical tests to a specific brane world solution, linking observational data to constraints on extra-dimensional parameters.

Findings

Solar system data constrains the bulk tidal parameter.

Observational limits on brane tension are established.

The solution's metric resembles Reissner-Nordstrom with tidal effects.

Abstract

The classical tests of general relativity (perihelion precession, deflection of light, and the radar echo delay) are considered for the Dadhich, Maartens, Papadopoulos and Rezania (DMPR) solution of the spherically symmetric static vacuum field equations in brane world models. For this solution the metric in the vacuum exterior to a brane world star is similar to the Reissner-Nordstrom form of classical general relativity, with the role of the charge played by the tidal effects arising from projections of the fifth dimension. The existing observational solar system data on the perihelion shift of Mercury, on the light bending around the Sun (obtained using long-baseline radio interferometry), and ranging to Mars using the Viking lander, constrain the numerical values of the bulk tidal parameter and of the brane tension.