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arXiv · 2210.02783

Topological modes in stellar oscillations

Armand Leclerc·Guillaume Laibe·Pierre Delplace·Antoine Venaille·Nicolas Perez
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Abstract

Stellar oscillations can be of topological origin. We reveal this deep and so-far hidden property of stars by establishing a novel parallel between stars and topological insulators. We construct an hermitian problem to derive the expression of the stellar $\mathrm{\textit{acoustic-buoyant}}$ frequency $S$ of non-radial adiabatic pulsations. A topological analysis then connects the changes of sign of the acoustic-buoyant frequency to the existence of Lamb-like waves within the star. These topological modes cross the frequency gap and behave as gravity modes at low harmonic degree $\ell$ and as pressure modes at high $\ell$. $S$ is found to change sign at least once in the bulk of most stellar objects, making topological modes ubiquitous across the Hertzsprung-Russel diagram. Some topological modes are also expected to be trapped in regions where the internal structure varies strongly locally.

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Armand Leclerc, Guillaume Laibe, Pierre Delplace, Antoine Venaille, Nicolas Perez. 2022-10-06. Topological modes in stellar oscillations. https://doi.org/10.3847/1538-4357%2Fac99d9

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