We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of contractions of the metric with the Ricci tensor, and formulated in metric-affine spaces (Ricci-Based Gravity theories) and General Relativity. This way, starting from the Kerr-Newman solution, we show that this mapping bring us the axisymmetric solutions of Eddington-inspired Born-Infeld gravity coupled to a certain model of non-linear electrodynamics. We discuss the most relevant physical features of the solutions obtained this way, both in the spherically symmetric limit and in the fully rotating regime. Moreover, we further elaborate on the potential impact of this important technical progress for bringing closer the predictions of modified gravity with the astrophysical observations of compact objects and gravitational wave astronomy.

中文翻译：

---

受爱丁顿启发的 Born-Infeld 引力中的旋转黑洞：精确解

我们在受爱丁顿启发的 Born-Infeld 引力中找到了一个精确的旋转带电黑洞解决方案。为此，我们采用最近开发的对应或 {\it 映射} 之间的修改重力模型，这些模型是从度量与 Ricci 张量的收缩中构建的标量，并在度量仿射空间（基于 Ricci 的重力理论）和广义相对论中制定. 这样，从 Kerr-Newman 解开始，我们表明这种映射为我们带来了受 Eddington 启发的 Born-Infeld 引力与某个非线性电动力学模型耦合的轴对称解。我们讨论了以这种方式获得的解决方案最相关的物理特征，包括球对称极限和完全旋转状态。而且，