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New observational data, measured with a high degree of accuracy, of compactisolated neutron stars and binary stars in gravitational wave remnants have thepotential to explore the strong field gravity. Within the framework ofenergy-momentum squared gravity (EMSG) theory we study its impact on severalproperties of neutron stars and plausible modifications from the predictions ofgeneral relativity. Based on a representative set of relativistic nuclear meanfield models, non-relativistic Skyrme-Hartree-Fock models and microscopiccalculations, we show deviations of neutron star mass-radius sequence in EMSGtheory as compared to general relativity. The variation in the effectivenuclear equation of state in EMSG, results in distinct magnitudes in thereduced pressure, speed of sound, and maximum compactness at the center ofneutron stars. We perform extensive correlation analysis of the nuclear modelparameters with the neutron star observables in light of the new observationalbounds. Perceptible modifications in the correlations are found in the modelsof gravity that provide different estimates of the slope and curvature ofnuclear matter symmetry energy. The available neutron star data however do notimpose stringent enough constraints for clear evidence of deviations fromgeneral relativity.

Impact of modified gravity theory on neutron star and nuclear matter properties