Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity
General Relativity and Quantum Cosmology
2018-01-30 v3 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
In this paper we show that there is a universal prediction for the Newtonian potential for an infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory ghost-free at a perturbative level, the Newtonian potential always falls-off as 1/r in the infrared limit, while at short distances the potential becomes non-singular. We provide examples which can potentially test the scale of gravitational non-locality up to 0.004 eV.
Keywords
Cite
@article{arxiv.1604.01989,
title = {Behavior of the Newtonian potential for ghost-free gravity and singularity-free gravity},
author = {James Edholm and Alexey S. Koshelev and Anupam Mazumdar},
journal= {arXiv preprint arXiv:1604.01989},
year = {2018}
}
Comments
4 pages Accepted for publication by Physical Review D