Development of a realistic neutron star under 𝑓(𝑄) gravity

In this study, certain realistic compact objects with a nonmetricity 𝑄 are analyzed and evaluated in the presence of a gravitational interaction between two particles. We have chosen the anisotropic equation of motion in the 𝑓(𝑄) gravity framework and found that 𝑓(𝑄) is a linear function of nonmetricity 𝑄. We have chosen to use the Krori–Barua metric in order to assess the field equations in our work. The anisotropic component is positive and increases monotonically, according to our calculations of the anisotropic factor for each of the four compact objects. This suggests that the nuclear force may be able to counteract the gravitational pull. Finally, a visual representation of the link between mass and radius has been established. For a range of values of 𝑎, we have observed that the pulsars LMC X-4, SMC X-4, Cen X-3, and Vela X-1 are compact within the Buchdahl's limit. As a result, these pulsars are now thought to be neutron stars with a modified gravitational background of 𝑓(𝑄). Furthermore, we computed the model mass and performed the Chi-Square test with thirty different values of 𝑎 to determine whether the observed and model-generated masses differed noticeably. In addition, we have examined the evolution of the surface redshift and the compactness of the previously described compact objects in our model.