We explore equilibrium solutions of spherically symmetric boson stars in the Palatini formulation of gravity. We account for the modifications introduced in the gravitational sector by using a recently established correspondence between modified gravity with scalar matter and general relativity with modified scalar matter. We focus on the quadratic theory and compare its solutions with those found in general relativity, exploring both positive and negative values of the coupling parameter ξ. As matter source, a complex, massive scalar field with and without self-interaction terms is considered. Our results show that the existence curves of boson stars in Palatini gravity are fairly similar to those found in general relativity. Major differences are observed for negative values of the coupling parameter which results in a repulsive gravitational component for high enough scalar field density distributions. Adding self-interactions makes the degeneracy between and general relativity even more pronounced, leaving very little room for observational discrimination between the two theories.

我们在引力的帕拉蒂尼公式中探索球对称玻色子星的平衡解。我们通过使用最近建立的带有标量物质的修正引力与带有修正的标量物质的广义相对论之间的对应关系来解释引力部门中引入的修正。我们专注于二次理论并将其解与广义相对论中的解进行比较，探索耦合参数ξ 的正值和负值。作为物质源，考虑具有和不具有自相互作用项的复杂、大量标量场。我们的结果表明，帕拉蒂尼的玻色子星存在曲线引力与广义相对论中的引力非常相似。对于耦合参数的负值，观察到主要差异，这导致对于足够高的标量场密度分布产生排斥引力分量。添加自相互作用使得广义相对论和广义相对论之间的退化更加明显，这两种理论之间几乎没有观察区分的空间。