paper

Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?

arXiv:2211.08489 · doi:10.1140/epjc/s10052-023-11496-w

Abstract

We investigate whether quasinormal modes (QNMs) can be used in the search for signatures of extra dimensions. To address a gap in the Beyond the Standard Model (BSM) literature, we focus here on higher dimensions characterised by negative Ricci curvature. As a first step, we consider a product space comprised of a four-dimensional Schwarzschild black hole space-time and a three-dimensional nilmanifold (twisted torus); we model the black hole perturbations as a scalar test field. We suggest that the extra-dimensional geometry can be stylised in the QNM effective potential as a squared mass-like term representing the Kaluza-Klein (KK) spectrum. We then compute the corresponding QNM spectrum using three different numerical methods, and determine a possible ``detectability bound" beyond which KK masses cannot be detected using QNMs.

arXiv comment19 pages, 6 figures, and 5 tables. Updates include: (i) minor corrections; (ii) Tables 1-3 and Figs. 1, 2 introduced into section 2.1; Fig. 6 included in section 3.3; (iii) further discussion added in the introduction, in section 2.1, and in the conclusion. The Version of Record of this article is published in "The European Physical Journal C", and is available online at the link provided below

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