Constraining energy-momentum-squared gravity by binary pulsar observations

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