Do Solar system tests permit higher dimensional general relativity?

TL;DR

This paper investigates whether higher-dimensional Schwarzschild solutions align with solar system observations, finding most phenomena incompatible except for test particle motion, thus challenging higher-dimensional gravity models in this context.

Contribution

It provides a comprehensive survey of solar system tests applied to higher-dimensional Schwarzschild spacetime, highlighting inconsistencies with observational data.

Findings

Perihelion shift results are incompatible

Light bending does not match observations

Test particle motion aligns with higher-dimensional models

Abstract

We perform a survey whether higher dimensional Schwarzschild space-time is compatible with some of the solar system phenomena. As a test we examine five well known solar system effects, viz., (1) Perihelion shift, (2) Bending of light, (3) Gravitational redshift, (4) Gravitational time delay and (5) Motion of test particle in the framework of general relativity with higher dimensions. It is shown that the results related to all these physical phenomena are mostly incompatible with the higher dimensional version of general relativity except that of Motion of test particle. We compare all these results with the available data in the literature.