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Spherically-symmetric solutions in quasi-local Einstein-Weyl gravity

2025/12/16 by Johanna N. Borissova, Johanna Borissova, Borissova, Johanna +4 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Circular symmetry #Cosmology and Gravitation Theories #Focus (optics) #Gravitation #Gravitational singularity #Noncommutative and Quantum Gravity Theories #Quadratic equation #Schwarzschild metric #Schwarzschild radius #Wormhole

paper · pdf · doi:10.1088/1475-7516/2026/07/080

openalex created_date 2025/12/18 · openalex publication_date 2026/07/01 · openalex updated_date 2026/08/01

Abstract

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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