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arXiv · 2512.14148

Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

Johanna Borissova·Breno L. Giacchini·Aaron Held
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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.

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Johanna Borissova, Breno L. Giacchini, Aaron Held. 2025-12-16. Spherically symmetric solutions in quasi-local Einstein-Weyl gravity. https://doi.org/10.1088/1475-7516%2F2026%2F07%2F080

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