Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

Quantum-gravitational effective actions with higher-derivative and non-local operators are expected to regularize the singularities of general relativity. Here we focus on quasi-local Einstein-Weyl gravity and obtain a classification of Frobenius solutions in static spherical symmetry. In contrast to local Einstein-Weyl gravity, and more generally quadratic gravity, we find that the quasi-local theory admits only regular solutions at the radial core. In addition, we find asymptotic $1/r^{6}$-corrections to the Schwarzschild geometry at large radial distances. Other solution classes around generic expansion points describe Schwarzschild-like and other types of horizons, as well as symmetric and non-symmetric wormhole throats.