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Newtonian potential in higher-derivative quantum gravity

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arxiv 2012.06254 v2 pith:LYWDSJEW submitted 2020-12-11 gr-qc hep-th

Nicolò Burzillà , Breno L. Giacchini , Tibério de Paula Netto , Leonardo Modesto This is my paper
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abstract

We hereby derive the Newtonian metric potentials for the fourth-derivative gravity including the one-loop logarithm quantum corrections. It is explicitly shown that the behavior of the modified Newtonian potential near the origin is improved respect to the classical one, but this is not enough to remove the curvature singularity in $r=0$. Our result is grounded on a rigorous proof based on numerical and analytic computations.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Acausal exact vacuum solutions in nonlocal gravity

    gr-qc 2026-05 unverdicted novelty 7.0 of 10

    A subclass of Gödel universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for special nonlocal form factors.

  2. The Graviton Propagator in Asymptotically Safe Gravity with Non-Local Form Factors

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    At quadratic order in asymptotically safe gravity, the graviton propagator has a single pole at q²=0 with positive residue, no ghost poles, and yields a regular Newtonian potential at r=0.

  3. Acausal exact vacuum solutions in nonlocal gravity

    gr-qc 2026-05 unverdicted novelty 5.0 of 10

    Gödel-type universes with closed timelike curves are exact vacuum solutions in nonlocal gravity for a special class of form factors.

  4. Eikonal, nonlocality and regular black holes

    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Nonlocal form factors in D-dimensional gravity yield effective geometries whose nonlinear completion gives regular, asymptotically flat Schwarzschild deformations with de Sitter cores.

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