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arXiv · 1709.04587

The origin of regular Newtonian potential in infinite derivative gravity

Yun Soo Myung·Young-Jai Park
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Abstract

It turns out that the infinite derivative gravity (IDG) is ghost-free and renormalizable when one chooses the exponential of an entire function. For this IDG case, the corresponding Newtonian potential generated from the delta function is non-singular at the origin. However, we will explicitly show that the source generating this non-singular potential is given not by the delta-function due to the point-like source of mass, but by the Gaussian mass distribution. This explains clearly why the IDG with the exponential of an entire function yields the finite potential at the origin.

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Yun Soo Myung, Young-Jai Park. 2017-09-14. The origin of regular Newtonian potential in infinite derivative gravity. https://arxiv.org/abs/1709.04587

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