Newtonian potential in higher-derivative quantum gravity

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.

10 pages, 5 figures. V2: references added; matches the version to appear in PRD

References in corpus (10)

• Black Holes in Higher-Derivative Gravity
• Effective Action of Vacuum: Semiclassical Approach
• On the cancellation of Newtonian singularities in higher-derivative gravity
• Form factors and decoupling of matter fields in four-dimensional gravity
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• The Lightest of Black Holes
• Vacuum effective actions and mass-dependent renormalization in curved space
• Gravitational Effective Action at Second Order in Curvature and Gravitational Waves
• Graviton propagator, renormalization scale and black-hole like states
• Inconsistency of Minkowski higher-derivative theories