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.
Newtonian potential in higher-derivative quantum gravity
Modesto, Leonardo
2021-01-01
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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