On Newtonian singularities in higher derivative gravity models
High Energy Physics - Theory
2015-11-12 v2
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 cancellation of contributions from scalar and tensor massive modes.
Keywords
Cite
@article{arxiv.1412.0740,
title = {On Newtonian singularities in higher derivative gravity models},
author = {Leonardo Modesto and Tibério de Paula Netto and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:1412.0740},
year = {2015}
}
Comments
Added comment about the black hole solutions in Conclusions section. Fits published version, plus some misprints corrected in formulas at the end of Sect. 3