Static Tidal Perturbations of Relativistic Stars: Corrected Center Expansion and Love Numbers-I
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917414220857344 |
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| author | Altas, Emel Kilicarslan, Ercan Oktay, Onur Tekin, Bayram |
| author_facet | Altas, Emel Kilicarslan, Ercan Oktay, Onur Tekin, Bayram |
| contents | We revisit static tidal perturbations of relativistic stars with emphasis on two technical issues in the standard quadrupolar formulation. First, we derive the regular-center Frobenius expansion of the interior even-parity master function and obtain a corrected subleading coefficient, which differs from the expression commonly used in the literature. Second, we derive the static even-parity master equation on a Schwarzschild-de Sitter background, extending the usual asymptotically flat problem to a two-horizon geometry. To place these results on a common footing, we also show how the general interior even-parity system in Regge-Wheeler gauge reduces to the standard quadrupolar equation used in Love-number calculations. Numerical integrations for polytropic equations of state show that the corrected center coefficient affects only subleading initial data and leaves the extracted Love number $k_2$ unchanged within numerical accuracy. Taken together, these results fix the regular-center input to the standard quadrupolar problem and extend the static even-parity formalism to Schwarzschild-de Sitter backgrounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15195 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Static Tidal Perturbations of Relativistic Stars: Corrected Center Expansion and Love Numbers-I Altas, Emel Kilicarslan, Ercan Oktay, Onur Tekin, Bayram General Relativity and Quantum Cosmology Astrophysics of Galaxies High Energy Physics - Theory Mathematical Physics We revisit static tidal perturbations of relativistic stars with emphasis on two technical issues in the standard quadrupolar formulation. First, we derive the regular-center Frobenius expansion of the interior even-parity master function and obtain a corrected subleading coefficient, which differs from the expression commonly used in the literature. Second, we derive the static even-parity master equation on a Schwarzschild-de Sitter background, extending the usual asymptotically flat problem to a two-horizon geometry. To place these results on a common footing, we also show how the general interior even-parity system in Regge-Wheeler gauge reduces to the standard quadrupolar equation used in Love-number calculations. Numerical integrations for polytropic equations of state show that the corrected center coefficient affects only subleading initial data and leaves the extracted Love number $k_2$ unchanged within numerical accuracy. Taken together, these results fix the regular-center input to the standard quadrupolar problem and extend the static even-parity formalism to Schwarzschild-de Sitter backgrounds. |
| title | Static Tidal Perturbations of Relativistic Stars: Corrected Center Expansion and Love Numbers-I |
| topic | General Relativity and Quantum Cosmology Astrophysics of Galaxies High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2604.15195 |