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arXiv · 2603.03436

Slowly rotating charged BTZ black hole solutions in Palatini Chern-Simons gravity

Flavio Bombacigno·Gonzalo J. Olmo·Emanuele Orazi·Paulo J. Porfírio
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Abstract

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.

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Flavio Bombacigno, Gonzalo J. Olmo, Emanuele Orazi, Paulo J. Porfírio. 2026-03-03. Slowly rotating charged BTZ black hole solutions in Palatini Chern-Simons gravity. https://arxiv.org/abs/2603.03436

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