Slowly Rotating and Tidal Deformation of Nonlocal Modified Tolman VII Star
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| Format: | Preprint |
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2025
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| author | Jayawiguna, Byon N. Burikham, Piyabut |
| author_facet | Jayawiguna, Byon N. Burikham, Piyabut |
| contents | 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~$(k_{2})$ is derived using standard even-parity perturbation theory. Additionally, we explore the observational implications by analyzing the tidal deformability parameter~$( λ_{\textrm{tid}} )$ 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~$( \bar{I} )$, rotational Love parameter~$( \barλ_{\textrm{rot}} )$, and quadrupole moment~$( \bar{Q} )$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_20886 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Slowly Rotating and Tidal Deformation of Nonlocal Modified Tolman VII Star Jayawiguna, Byon N. Burikham, Piyabut General Relativity and Quantum Cosmology High Energy Physics - Phenomenology 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~$(k_{2})$ is derived using standard even-parity perturbation theory. Additionally, we explore the observational implications by analyzing the tidal deformability parameter~$( λ_{\textrm{tid}} )$ 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~$( \bar{I} )$, rotational Love parameter~$( \barλ_{\textrm{rot}} )$, and quadrupole moment~$( \bar{Q} )$ 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. |
| title | Slowly Rotating and Tidal Deformation of Nonlocal Modified Tolman VII Star |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2505.20886 |