Constraining Energy-Momentum-Squared Gravity by binary pulsar observations

TL;DR

This study develops a post-Minkowskian approximation for Energy-Momentum-Squared Gravity and uses binary pulsar observations to constrain its free parameter, providing bounds consistent with previous research.

Contribution

Introduces a post-Minkowskian approximation for EMSG and applies it to binary pulsar data to constrain the theory's free parameter.

Findings

Estimated bounds on the EMSG parameter $f_0'$ from binary pulsar data.

Found that the bounds agree with previous studies.

Demonstrated the effect of EMSG on orbital period derivatives.

Abstract

In this paper, we introduce the post-Minkowskian approximation of Energy-Momentum-Squared Gravity (EMSG). This approximation is used to study the gravitational energy flux in the context of EMSG. As an application of our results, we investigate the EMSG effect on the first time derivative of the orbital period of the binary pulsars. Utilizing this post-Keplerian parameter, the free parameter of the EMSG theory, $f_0'$, is estimated for six known binary pulsars. Taking the binaries that have the most accurate observations, it turns out that $-6\times 10^{-37}\text{m}\,\text{s}^2\text{kg}^{-1}<f_0'<+10^{-36}\text{m}\,\text{s}^2\text{kg}^{-1}$. This bound is in agreement with the precedent studies.