Quantum corrections to tidal Love number for Schwarzschild black holes
Jung-Wook Kim, Myungbo Shim
Abstract
A sum rule for tidal Love number is derived from quantum field theory computations, which relates tidal susceptibility of a spinless body to transition rates of its single graviton emission processes. An analogous sum rule for electromagnetism is given as an example, which is substantiated by comparing to the solved problem of the hydrogen atom. Based on the semiclassical Hawking radiation spectrum, a finite nonvanishing value for quantum corrections to the Love number of Schwarzschild black holes in general relativity is computed using the sum rule, which is known to classically vanish.
Topics & Concepts
PhysicsHawking radiationSchwarzschild radiusSemiclassical physicsQuantum mechanicsGravitonGeneral relativitySchwarzschild metricBlack hole (networking)Quantum gravityTheory of relativityQuantum electrodynamicsTheoretical physicsClassical mechanicsQuantum field theoryQuantumMathematical physicsMicro black holeQuantum numberField (mathematics)Problem of timeQuantum cosmologyWhite holeBlack hole thermodynamicsNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsAstrophysical Phenomena and Observations