Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation

TL;DR

This paper explores how a brane-world model derived from General Relativity affects classical Solar System tests, providing bounds on extra-dimensional parameters based on experimental data.

Contribution

It introduces a brane-world solution obtained through Minimal Geometric Deformation and derives experimental bounds on extra-dimensional effects from Solar System tests.

Findings

Bounds on extra-dimensional parameters consistent with Solar System experiments

Modified gravitational signatures due to warped extra dimension

Constraints on fundamental gravitational length from classical tests

Abstract

We consider a solution of the effective four-dimensional brane-world equations, obtained from the General Relativistic Schwarzschild metric via the principle of Minimal Geometric Deformation, and investigate the corresponding signatures stemming from the possible existence of a warped extra dimension. In particular, we derive bounds on an extra-dimensional parameter, closely related with the fundamental gravitational length, from the experimental results of the classical tests of General Relativity in the Solar system.