2018/04/30 by Jens Boos · 30 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Derivative (finance) #Friedel oscillations #Gravitation #Impurity #Mathematical analysis #Mathematical physics #Minkowski space #Noncommutative and Quantum Gravity Theories #Physics #Quantum electrodynamics #Quantum mechanics #Regularization (linguistics) #Second derivative #cond-mat.other #gr-qc #hep-ph
paper · pdf · doi:10.1142/s0218271818470223
published in International Journal of Modern Physics D 27(14), 1847022 (World Scientific) · 10 pages, 3 figures, matches the published version. Essay received an Honorable Mention in the 2018 Essay Competition of the Gravity Research Foundation
openalex created_date 2018/04/13 · openalex publication_date 2018/10/01 · arxiv created 2018/10/18 · arxiv updated 2018/10/19 · openalex updated_date 2026/08/05
When a positively charged impurity is placed inside a cold metal, the resulting charge density around that object exhibits characteristic ripples to negative values, known as Friedel oscillations. In this essay, we describe a somewhat analogous effect in (i) linearized higher-derivative gravity and (ii) linearized infinite-derivative “ghost-free” gravity: when a gravitational impurity (point particle) is placed in Minkowski vacuum, the local energy density [Formula: see text] (with [Formula: see text]) exhibits oscillations to negative values. The wavelength of these oscillations is roughly given by (i) the Pauli–Villars regularization scale and (ii) the scale of nonlocality. We hence dub this phenomena gravitational Friedel oscillations.