Loop quantum gravity introduces two characteristic modifications in the classical constraints of general relativity: the holonomy and inverse-triad corrections. In this paper, a systematic construction of anomaly-free effective constraints encoding such corrections is developed for spherically symmetric spacetimes. The starting point of the analysis is a generic Hamiltonian constraint where free functions of the triad and curvature components as well as non-minimal couplings between geometric and matter degrees of freedom are considered. Then, the requirement of anomaly freedom is imposed in order to obtain a modified Hamiltonian that forms a first-class algebra. In this way, we construct a family of consistent deformations of spherical general relativity, which generalizes previous results in the literature. The discussed derivation is implemented for vacuum as well as for two matter models: dust and scalar field. Nonetheless, only the deformed vacuum model admits free functions of the connection components. Therefore, under the present assumptions, we conclude that holonomy corrections are not allowed in the presence of these matter fields.

环路量子引力在广义相对论的经典约束中引入了两个特征性修改：完整性和反三元校正。在本文中，针对球面对称的时空，开发了一种对这种校正进行编码的无异常有效约束的系统构造。分析的起点是一般的哈密顿约束，其中考虑了三重轴和曲率分量的自由函数以及几何自由度和物质自由度之间的非最小耦合。然后，提出了异常自由度的要求，以便获得形成一等代数的修正哈密顿量。通过这种方式，我们构造了一个球面广义相对论的一致变形族，从而对文献中的先前结果进行了概括。讨论的推导适用于真空以及两种物质模型：粉尘和标量场。尽管如此，只有变形的真空模型才允许连接组件具有自由功能。因此，在目前的假设下，我们得出结论，在这些物质场的存在下，不允许进行完整性校正。