Motivated by the lack of rotating solutions sourced by matter in General Relativity as well as in modified gravity theories, we extend a recently discovered exact rotating solution of the minimal Einstein-scalar theory to its counterpart in Eddington-inspired Born-Infeld gravity coupled to a Born-Infeld scalar field. This is accomplished with the implementation of a well-developed mapping between solutions of Ricci-Based Palatini theories of gravity and General Relativity. The new solution is parametrized by the scalar charge and the Born-Infeld coupling constant apart from the mass and spin of the compact object. Compared to the spacetime prior to the mapping, we find that the high-energy modifications at the Born-Infeld scale are able to suppress but not remove the curvature divergence of the original naked null singularity. Depending on the sign of the Born-Infeld coupling constant, these modifications may even give rise to an additional timelike singularity exterior to the null one. In spite of that, both of the naked singularities before and after the mapping are capable of casting shadows, and as a consequence of the mapping relation, their shadows turn out to be identical as seen by a distant observer on the equatorial plane. Even though the scalar field induces a peculiar oblateness to the appearance of the shadow with its left and right endpoints held fixed, the closedness condition for the shadow contour sets a small upper bound on the absolute value of the scalar charge, which leads to observational features of the shadow closely resembling those of a Kerr black hole.

受到广义相对论和修正引力理论中物质来源的旋转解的缺乏的启发，我们将最近发现的最小爱因斯坦标量理论的精确旋转解扩展到其对应的爱丁顿启发的玻恩因菲尔德引力耦合到Born-Infeld 标量场。这是通过在基于 Ricci 的帕拉蒂尼引力理论和广义相对论的解决方案之间实施完善的映射来实现的。除了致密物体的质量和自旋之外，新的解决方案由标量电荷和 Born-Infeld 耦合常数参数化。与映射之前的时空相比，我们发现在 Born-Infeld 尺度上的高能修改能够抑制但不能消除原始裸零奇点的曲率发散。根据 Born-Infeld 耦合常数的符号，这些修改甚至可能在零点之外产生一个额外的类时奇点。尽管如此，映射前后的裸奇点都能够投射阴影，并且由于映射关系，它们的阴影在赤道平面上的远处观察者看来是相同的。尽管标量场在左右端点保持固定的情况下对阴影的外观产生了特殊的扁率，但阴影轮廓的闭合条件为标量电荷的绝对值设置了一个小的上限，这导致了观测特征与克尔黑洞的阴影非常相似。这些修改甚至可能在零点之外产生一个额外的类时奇点。尽管如此，映射前后的裸奇点都能够投射阴影，并且由于映射关系，它们的阴影在赤道平面上的远处观察者看来是相同的。尽管标量场在左右端点保持固定的情况下对阴影的外观产生了特殊的扁率，但阴影轮廓的闭合条件为标量电荷的绝对值设置了一个小的上限，这导致了观测特征与克尔黑洞的阴影非常相似。这些修改甚至可能在零点之外产生一个额外的类时奇点。尽管如此，映射前后的裸奇点都能够投射阴影，并且由于映射关系，它们的阴影在赤道平面上的远处观察者看来是相同的。尽管标量场在左右端点保持固定的情况下对阴影的外观产生了特殊的扁率，但阴影轮廓的闭合条件为标量电荷的绝对值设置了一个小的上限，这导致了观测特征与克尔黑洞的阴影非常相似。映射之前和之后的裸奇点都能够投射阴影，并且由于映射关系，它们的阴影在赤道平面上的远处观察者看来是相同的。尽管标量场在左右端点保持固定的情况下对阴影的外观产生了特殊的扁率，但阴影轮廓的闭合条件为标量电荷的绝对值设置了一个小的上限，这导致了观测特征与克尔黑洞的阴影非常相似。映射之前和之后的裸奇点都能够投射阴影，并且由于映射关系，它们的阴影在赤道平面上的远处观察者看来是相同的。尽管标量场在左右端点保持固定的情况下对阴影的外观产生了特殊的扁率，但阴影轮廓的闭合条件为标量电荷的绝对值设置了一个小的上限，这导致了观测特征与克尔黑洞的阴影非常相似。