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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2511.07981 |
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| _version_ | 1866909897945251840 |
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| author | Liu, Yunlong Du, Yongbin |
| author_facet | Liu, Yunlong Du, Yongbin |
| contents | In this work, we study the constraints on the characteristic parameters $(ζ,b)$ of the Deser-Woodard nonlocal gravity model in a static and spherically symmetric background, using four classes of high-precision Solar-System experiments: stellar light deflection, Shapiro time delay, perihelion advance, and geodetic precession. From geodesic equations, we derive observable geometric quantities that can be directly compared with VLBI/VLBA astrometry, the Cassini time-delay measurement, MESSENGER data and the GP-B/LLR results. Our results show that a larger value of $b$ suppresses the nonlocal effect more rapidly with radius, thereby weakening the overall constraints on $ζ$. The perihelion advance exhibits the strongest sensitivity to $ζ$ around $b\simeq 1.06$, providing the tightest single experiment bound, whereas away from this region the combined constraint becomes dominated by the Shapiro time delay. Incorporating all four experiments yields a well-defined and sharply bounded allowed region for the parameter space $(ζ,b)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07981 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Solar-system experimental constraints on nonlocal gravity Liu, Yunlong Du, Yongbin General Relativity and Quantum Cosmology In this work, we study the constraints on the characteristic parameters $(ζ,b)$ of the Deser-Woodard nonlocal gravity model in a static and spherically symmetric background, using four classes of high-precision Solar-System experiments: stellar light deflection, Shapiro time delay, perihelion advance, and geodetic precession. From geodesic equations, we derive observable geometric quantities that can be directly compared with VLBI/VLBA astrometry, the Cassini time-delay measurement, MESSENGER data and the GP-B/LLR results. Our results show that a larger value of $b$ suppresses the nonlocal effect more rapidly with radius, thereby weakening the overall constraints on $ζ$. The perihelion advance exhibits the strongest sensitivity to $ζ$ around $b\simeq 1.06$, providing the tightest single experiment bound, whereas away from this region the combined constraint becomes dominated by the Shapiro time delay. Incorporating all four experiments yields a well-defined and sharply bounded allowed region for the parameter space $(ζ,b)$. |
| title | Solar-system experimental constraints on nonlocal gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.07981 |