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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.06082 |
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| _version_ | 1866915606655139840 |
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| author | Alekseev, G. A. |
| author_facet | Alekseev, G. A. |
| contents | A simple exact solution of the Einstein - Maxwell field equations for charged non-rotating black hole accelerated by an external electric field is presented. The background space-time, described by the well known Bertotti-Robinson solution, contains a spatially homogeneous electric field and possess the topology AdS2 x S2. The black hole mass m, its charge e and the value of the background electric field E are free parameters of the constructed solution. In the "rigid" (non-inertial) reference frame comoving a black hole, this solution is static. The value of acceleration of a black hole due to its interaction with the external electric field is determined by the condition of vanishing of conical singularities on the axis of symmetry. The dynamics of a charged black hole in the external electric field is compared with the behaviour of a charged test particle with the same charge to mass ratio. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06082 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Charged black hole accelerated by spatially homogeneous electric field of Bertotti-Robinson (AdS2 x S2) space-time Alekseev, G. A. General Relativity and Quantum Cosmology A simple exact solution of the Einstein - Maxwell field equations for charged non-rotating black hole accelerated by an external electric field is presented. The background space-time, described by the well known Bertotti-Robinson solution, contains a spatially homogeneous electric field and possess the topology AdS2 x S2. The black hole mass m, its charge e and the value of the background electric field E are free parameters of the constructed solution. In the "rigid" (non-inertial) reference frame comoving a black hole, this solution is static. The value of acceleration of a black hole due to its interaction with the external electric field is determined by the condition of vanishing of conical singularities on the axis of symmetry. The dynamics of a charged black hole in the external electric field is compared with the behaviour of a charged test particle with the same charge to mass ratio. |
| title | Charged black hole accelerated by spatially homogeneous electric field of Bertotti-Robinson (AdS2 x S2) space-time |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2511.06082 |