Abstract
We consider the problem of Newtonian singularity in the wide class of higher derivative gravity models, including the ones which are renormalizable and super-renormalizable at the quantum level. The simplest version of the singularity-free theory has four derivatives and is pretty well-known. We argue that in all cases of local higher-derivative theories, when the poles of the propagator are real and simple, the singularities disappear due to the cancelation of contributions from scalar and tensor massive modes.
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Modesto, L., de Paula Netto, T. & Shapiro, I.L. On Newtonian singularities in higher derivative gravity models. J. High Energ. Phys. 2015, 98 (2015). https://doi.org/10.1007/JHEP04(2015)098
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DOI: https://doi.org/10.1007/JHEP04(2015)098