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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.03231 |
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| _version_ | 1866918425947799552 |
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| author | Zhu, Jie Li, Hao |
| author_facet | Zhu, Jie Li, Hao |
| contents | The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field $B_μ$ has a two-component space-like, light-like, and time-like vacuum expectation value $b_μ$ is studied. Based on the results, we present a comprehensive classification of the static spherical vacuum solutions in bumblebee gravity with general vacuum expectation values. We find that the model becomes degenerate for a specific set of parameter combinations, where the solution can be characterized by an arbitrary function, which indicates that the non-minimally coupled massless vector tensor theory is ill-defined when $ξ=κ/2$. We also find that contrary to the situation in general relativity, the bumblebee gravity admits the exact Schwarzschild solution with non-zero matter distributions of certain forms. The implications of this result are discussed, suggesting that the experimental constraints within the solar system would be invalid. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03231 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs Zhu, Jie Li, Hao General Relativity and Quantum Cosmology The static spherical vacuum solution in a bumblebee gravity model where the bumblebee field $B_μ$ has a two-component space-like, light-like, and time-like vacuum expectation value $b_μ$ is studied. Based on the results, we present a comprehensive classification of the static spherical vacuum solutions in bumblebee gravity with general vacuum expectation values. We find that the model becomes degenerate for a specific set of parameter combinations, where the solution can be characterized by an arbitrary function, which indicates that the non-minimally coupled massless vector tensor theory is ill-defined when $ξ=κ/2$. We also find that contrary to the situation in general relativity, the bumblebee gravity admits the exact Schwarzschild solution with non-zero matter distributions of certain forms. The implications of this result are discussed, suggesting that the experimental constraints within the solar system would be invalid. |
| title | Full Classification of Static Spherical Vacuum Solutions to Bumblebee Gravity with General VEVs |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.03231 |