Energy-Momentum Squared Gravity (EMSG) is a new modified
gravity model. Deviations from the predictions of general relativity due
to EMSG are expected to become pronounced in the high density cores of
neutron stars. In this talk, I will introduce EMSG and present the
results of our last paper (arXiv:1802.02093) where we constrained the
free parameter of EMSG by using mass-radius observations neutron stars
and investigated cosmological implications of EMSG within this constraint.