2025/05/27 by Jayawiguna, Byon N., Burikham, Piyabut
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2505.20886
We investigate the moment of inertia, quadrupole deformation, and tidal deformation within the framework of nonlocal gravity, utilizing the exact modified Tolman-VII (NEMTVII) density model with an isotropic perfect fluid. The Love number~(k2) is derived using standard even-parity perturbation theory. Additionally, we explore the observational implications by analyzing the tidal deformability parameter~( λ_\textrmtid ) in comparison with the constraints from GW170817, GW190425, PSR J0348+0432, and PSR J0740+6620. We found that the results are consistent with the tidal constraint when α\gtrsim 1.6 with the small β. For slowly rotating object, the dimensionless moment of inertia~( I ), rotational Love parameter~( λ_\textrmrot ), and quadrupole moment~( Q ) are fully determined by the perturbed metric. Our findings reveal that the nonlocal parameter~( β) significantly affects the star radius. For a fixed β and varying α, the I-Love-Q relations are found to be universal. For varying β, the I-Love-Q relations become non-universal.