Selected Honorable Mention EssaysNo Access

Gravitational Friedel oscillations in higher-derivative and infinite-derivative gravity?

Theoretical Physics Institute, University of Alberta, Edmonton, AB T6G 2E1, Canada

https://doi.org/10.1142/S0218271818470223Cited by:21 (Source: Crossref)

This article is part of the issue:

SPECIAL ISSUE — Selected Essays from the Annual Essay Competition of the Gravity Research Foundation 2018 and Invited Papers; Editor: D. V. Ahluwalia

Abstract

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 $ρ \equiv G_{μ ν} ξ^{μ} ξ^{ν}$ (with $ξ = \partial_{t}$ ) 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.

This essay received an Honorable Mention in the 2018 Essay Competition of the Gravity Research Foundation.

Keywords:

PACS: 04.20.Dw, 04.50.Kd, 05.30.Fk

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