Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

TL;DR

This paper classifies static spherically symmetric solutions in quasi-local Einstein-Weyl gravity, revealing only regular core solutions, asymptotic corrections to Schwarzschild, and various horizon and wormhole configurations.

Contribution

It provides the first classification of solutions in quasi-local Einstein-Weyl gravity, highlighting differences from local theories and identifying new regular and horizon solutions.

Findings

Only regular solutions at the radial core are admitted.

Asymptotic corrections to Schwarzschild are proportional to 1/r^6.

Various horizon and wormhole solutions are characterized.

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 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.