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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.14004 |
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| _version_ | 1866929474274066432 |
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| author | Saito, Jin Kobayashi, Tsutomu |
| author_facet | Saito, Jin Kobayashi, Tsutomu |
| contents | A scalar field with a timelike gradient defines a preferred slicing. This occurs even in a non-cosmological setup in scalar-tensor theories such as khronometric theory. We study a black hole moving slowly relative to the preferred slicing defined by the scalar field. We consider a family of higher-order scalar-tensor theories that extend khronometric theory. The action is characterized by one constant parameter and one arbitrary function of the kinetic term of the scalar field. A slowly moving black hole is described by a dipole perturbation of a black hole at rest. We treat the metric and scalar-field perturbations consistently, derive a single master equation for the coupled system, and reconstruct the metric for a slowly moving black hole from the master variable. In this way, we revisit and generalize the previous studies. For generic theories in the family we consider, we find a solution that is regular outside the universal horizon and agnostic to the arbitrary function in the action. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_14004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Slowly moving black holes in Lorentz-violating scalar-tensor gravity Saito, Jin Kobayashi, Tsutomu General Relativity and Quantum Cosmology A scalar field with a timelike gradient defines a preferred slicing. This occurs even in a non-cosmological setup in scalar-tensor theories such as khronometric theory. We study a black hole moving slowly relative to the preferred slicing defined by the scalar field. We consider a family of higher-order scalar-tensor theories that extend khronometric theory. The action is characterized by one constant parameter and one arbitrary function of the kinetic term of the scalar field. A slowly moving black hole is described by a dipole perturbation of a black hole at rest. We treat the metric and scalar-field perturbations consistently, derive a single master equation for the coupled system, and reconstruct the metric for a slowly moving black hole from the master variable. In this way, we revisit and generalize the previous studies. For generic theories in the family we consider, we find a solution that is regular outside the universal horizon and agnostic to the arbitrary function in the action. |
| title | Slowly moving black holes in Lorentz-violating scalar-tensor gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2408.14004 |