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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Eikonal, nonlocality and regular black holes

  • Mariano Cadoni1,2
  • Lorenzo Herres1,2
  • Leonardo Modesto1,2
  • Lorenzo Orlando1,2
  • Mirko Pitzalis1,2
  1. 1Università di Cagliari
  2. 2I.N.F.N, Sezione di Cagliari
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Abstract

A bstract : We investigate the leading gravitational eikonal in nonlocal D dimensional theories of gravity. We analyze the simplest cases of 2 → 2 massless and massive scalar scattering at tree level, studying the effects of nonlocal form factors in the gravitational sector. We give an interpretation of our results in terms of geodesic motion in effective generalized Aichelburg-Sexl geometries for the massless case, and in smeared linearized Schwarzschild metrics for the massive case in the probe limit. Combining our results for the geometries at linearized level with general requirements about the behavior of the solutions in the core, we propose a nonlinear completion of the geometries. The resulting spacetimes describe singularity-free, asymptotically flat deformations of the Schwarzschild solution with a de Sitter core. We also analyze the main geometric and thermodynamic features of these solutions.

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Cite

BibTeXRIS
BibTeX
@article{cadoni2026eikonal,
  title = {{Eikonal, nonlocality and regular black holes}},
  author = {Mariano Cadoni and Lorenzo Herres and Leonardo Modesto and Lorenzo Orlando and Mirko Pitzalis},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)035},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)035},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Eikonal, nonlocality and regular black holes
AU  - Mariano Cadoni
AU  - Lorenzo Herres
AU  - Leonardo Modesto
AU  - Lorenzo Orlando
AU  - Mirko Pitzalis
PY  - 2026
DA  - 2026/11/04
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)035
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)035
AB  - A bstract : We investigate the leading gravitational eikonal in nonlocal D dimensional theories of gravity. We analyze the simplest cases of 2 → 2 massless and massive scalar scattering at tree level, studying the effects of nonlocal form factors in the gravitational sector. We give an interpretation of our results in terms of geodesic motion in effective generalized Aichelburg-Sexl geometries for the massless case, and in smeared linearized Schwarzschild metrics for the massive case in the probe limit. Combining our results for the geometries at linearized level with general requirements about the behavior of the solutions in the core, we propose a nonlinear completion of the geometries. The resulting spacetimes describe singularity-free, asymptotically flat deformations of the Schwarzschild solution with a de Sitter core. We also analyze the main geometric and thermodynamic features of these solutions.
SN  - 1029-8479
ER  -