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Researchers investigated whether black holes exhibit a phenomenon analogous to atomic fine structure by searching for differences between axial and polar perturbation frequencies in gravitational wave data. In General Relativity, these frequencies should be identical (isospectral), but alternative theories of gravity predict they could differ. The analysis of gravitational wave observations found no evidence of this splitting, establishing that any frequency difference must be less than 28.5% and constraining modified gravity theory parameters to coupling lengths below 28 kilometers.
Why it matters
This work provides experimental tests of General Relativity in the strong-field regime near black holes and places quantitative limits on alternative theories of gravity. The results help narrow down which modified gravity theories remain viable and demonstrate how gravitational wave astronomy can probe fundamental physics.
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⚠️ Preprint – Noch nicht peer-reviewed
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Abstract: In General Relativity, axial and polar black-hole perturbations share identical quasinormal-mode spectra, a property known as isospectrality. New physics can break this degeneracy, producing a spectral splitting analogous to atomic fine structure. We perform a theory-agnostic search for such splitting in gravitational-wave observations. We find no evidence for isospectrality breaking and place a combined $90%$ upper limit of $<28.5%$ on the relative frequency splitting. We map these constraints onto several modified-gravity theories, constraining the coupling-lengths to be $lesssim 28,mathrm{km}$.
Source: Black Hole Fine Structure