Two body dynamics in a quadratic modification of general relativity

TL;DR

This paper investigates quadratic modifications to general relativity, revealing minor deviations in post-Newtonian dynamics and non-GR behavior at very short scales through detailed analysis.

Contribution

It demonstrates that quadratic modifications cause small changes in post-Newtonian equations and introduce non-GR behavior at short distances.

Findings

Minor deviations in post-Newtonian equations

Non-GR behavior at very short length scales

Quantitative analysis of quadratic modifications

Abstract

It is shown in this study that deviations from the Einstein-Hilbert action at the quadratic level using a proper analyses and suitable dynamical variables lead to a tiny modification to the post-Newtonian equations of motion, and non-GR-like behavior at very short length scales.