Gravitational radiation in Infinite Derivative Gravity and connections to Effective Quantum Gravity

TL;DR

This paper derives modified gravitational wave formulas in Infinite Derivative Gravity (IDG), compares predictions with Effective Quantum Gravity (EQG), and uses binary pulsar data to constrain IDG's parameters, showing consistency with observations.

Contribution

It extends gravitational wave propagation formulas to IDG and EQG in de Sitter space, providing tighter constraints on IDG's mass scale using binary data.

Findings

IDG predicts slightly lower gravitational wave power than GR.

A lower bound on IDG mass scale is established at >4.0 keV.

Results are consistent with observed binary system data.

Abstract

The Hulse-Taylor binary provides possibly the best test of GR to date. We find the modified quadrupole formula for Infinite Derivative Gravity (IDG). We extend the backreaction formula for propagation of gravitational waves, found previously for Effective Quantum Gravity (EQG) for a flat background and extend this calculation to a de Sitter background for both EQG and IDG. We put tighter constraints on EQG using new LIGO data. We also find the power emitted by a binary system within the IDG framework for both circular and elliptical orbits and use the example of the Hulse-Taylor binary. IDG predicts a slightly lower power than GR, which is exactly the observed result. We also find a lower bound on our mass scale of $M>4.0$ keV, which is $10^6$ larger than the previous result.