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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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keywords newtoniangravitypotentialquantumanalyticbehaviorclassicalcomputations
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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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