Slowly rotating charged BTZ black hole solutions in Palatini Chern-Simons gravity
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866910040100700160 |
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| author | Bombacigno, Flavio Olmo, Gonzalo J. Orazi, Emanuele Porfírio, Paulo J. |
| author_facet | Bombacigno, Flavio Olmo, Gonzalo J. Orazi, Emanuele Porfírio, Paulo J. |
| contents | We consider a metric-affine formulation of Chern-Simons modified gravity in 2 + 1 dimensions. The theory is built requiring projective invariance, and the structure of the equations is analyzed using a decomposition in terms of scalar, vectorial, and purely tensorial objects. This approach allows us to implement a perturbative approach to study the corrections that emerge around a given background solution, for which we consider a BTZ charged, non-rotating metric. We show that conditions on model parameters are necessary to keep perturbations under control, yielding a rotating solution with a constant angular momentum and magnetic field at the horizon, and a smooth decay further away. We comment on the possibility of going beyond the leading order in perturbations and on its dynamical implications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03436 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Slowly rotating charged BTZ black hole solutions in Palatini Chern-Simons gravity Bombacigno, Flavio Olmo, Gonzalo J. Orazi, Emanuele Porfírio, Paulo J. General Relativity and Quantum Cosmology High Energy Physics - Theory We consider a metric-affine formulation of Chern-Simons modified gravity in 2 + 1 dimensions. The theory is built requiring projective invariance, and the structure of the equations is analyzed using a decomposition in terms of scalar, vectorial, and purely tensorial objects. This approach allows us to implement a perturbative approach to study the corrections that emerge around a given background solution, for which we consider a BTZ charged, non-rotating metric. We show that conditions on model parameters are necessary to keep perturbations under control, yielding a rotating solution with a constant angular momentum and magnetic field at the horizon, and a smooth decay further away. We comment on the possibility of going beyond the leading order in perturbations and on its dynamical implications. |
| title | Slowly rotating charged BTZ black hole solutions in Palatini Chern-Simons gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.03436 |