Newtonian potential in higher-derivative quantum gravity
Nicolò Burzillà, Breno L. Giacchini, Tibério de Paula Netto, Leonardo Modesto
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.
Topics & Concepts
Newtonian potentialLogarithmCurvatureNewtonian fluidQuantum gravityQuantumSingularityMetric (unit)Derivative (finance)PhysicsComputationGravitationMathematical physicsClassical mechanicsTheoretical physicsMathematicsQuantum mechanicsMathematical analysisGeometryAlgorithmOperations managementFinancial economicsEconomicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories