Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

Abstract

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 local classification of static spherically symmetric solutions expandable as Frobenius series in Kundt coordinates. 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.

27 pages + appendix, 1 figure; published version