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arXiv · 2211.08489

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

Anna Chrysostomou·Alan Cornell·Aldo Deandrea·Étienne Ligout·Dimitrios Tsimpis
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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.

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Anna Chrysostomou, Alan Cornell, Aldo Deandrea, Étienne Ligout, Dimitrios Tsimpis. 2022-11-15. Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?. https://doi.org/10.1140/epjc/s10052-023-11496-w

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