Massive Particle Motion Around Horndeski Black Holes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908623829991424 |
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| author | Carvajal, D. A. González, P. A. Olivares, Marco Papantonopoulos, Eleftherios Vásquez, Yerko |
| author_facet | Carvajal, D. A. González, P. A. Olivares, Marco Papantonopoulos, Eleftherios Vásquez, Yerko |
| contents | The time-like structure of the four-dimensional asymptotically flat Horndeski black holes is studied in detail. Focusing on the motion of massive neutral test particles, we construct the corresponding effective potential and classify the admissible types of orbits. The equations of motion are solved analytically, yielding trajectories expressed in terms of Weierstrass elliptic functions and elementary functions. As an application, we compute the perihelion precession as a classical test of gravity within the Solar System and use it to place observational constraints on the coupling parameter between the scalar field and gravity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09819 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Massive Particle Motion Around Horndeski Black Holes Carvajal, D. A. González, P. A. Olivares, Marco Papantonopoulos, Eleftherios Vásquez, Yerko General Relativity and Quantum Cosmology High Energy Physics - Theory The time-like structure of the four-dimensional asymptotically flat Horndeski black holes is studied in detail. Focusing on the motion of massive neutral test particles, we construct the corresponding effective potential and classify the admissible types of orbits. The equations of motion are solved analytically, yielding trajectories expressed in terms of Weierstrass elliptic functions and elementary functions. As an application, we compute the perihelion precession as a classical test of gravity within the Solar System and use it to place observational constraints on the coupling parameter between the scalar field and gravity. |
| title | Massive Particle Motion Around Horndeski Black Holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.09819 |