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Peer-reviewedCC BY 4.0Journal of Cosmology and Astroparticle Physics

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 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/r6-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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Cite

BibTeXRIS
BibTeX
@article{borissova2026spherically,
  title = {{Spherically symmetric solutions in quasi-local Einstein-Weyl gravity}},
  author = {Johanna Borissova and Breno L Giacchini and Aaron Held},
  journal = {Journal of Cosmology and Astroparticle Physics},
  year = {2026},
  month = sep,
  doi = {10.1088/1475-7516/2026/07/080},
  eprint = {2512.14148},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05453843v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Spherically symmetric solutions in quasi-local Einstein-Weyl gravity
AU  - Johanna Borissova
AU  - Breno L Giacchini
AU  - Aaron Held
PY  - 2026
DA  - 2026/09/22
JO  - Journal of Cosmology and Astroparticle Physics
DO  - 10.1088/1475-7516/2026/07/080
UR  - https://hal.science/hal-05453843v1
AB  - 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.
SN  - 1475-7508
SN  - 1475-7516
ER  -