Classic tests of General Relativity described by brane-based spherically symmetric solutions

TL;DR

This paper explores how higher-dimensional brane models affect classic tests of General Relativity, providing a framework to constrain extra-dimensional parameters using observational data.

Contribution

It introduces a brane-based spherically symmetric solution that modifies classic GR tests with an extra parameter, enabling observational constraints on higher dimensions.

Findings

The braneworld model modifies perihelion shift, light deflection, and redshift predictions.

Observational data can constrain the extra parameter $b$ related to the fifth dimension.

The approach links higher-dimensional theories with empirical tests of gravity.

Abstract

We discuss a way to obtain information about higher dimensions from observations by studying a brane-based spherically symmetric solution. The three classic tests of General Relativity are analyzed in details: the perihelion shift of the planet Mercury, the deflection of light by the Sun, and the gravitational redshift of atomic spectral lines. The braneworld version of these tests exhibits an additional parameter $b$ related to the fifth-coordinate. This constant $b$ can be constrained by comparison with observational data for massive and massless particles.