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Volume 641 Issue 8063, 15 May 2025
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Volume 641 Issue 8063, 15 May 2025

Making waves

General relativity says that when two massive objects such as black holes or neutron stars fly past each other, gravitational interactions will change their trajectories and gravitational waves will be emitted as a result — as visualized on the cover for two black holes. Although gravitational waves from binary mergers are now routinely detected by dedicated observatories, it remains difficult to predict the outcomes of such interactions accurately. In this week’s issue, Jan Plefka and colleagues address this problem with a high-precision prediction of what happens when two black holes scatter off each other. Based in perturbation theory, their work involved computing millions of high-dimensional integrals, by translating the problem to solving linear equations on supercomputers. The team found that mathematical structures called Calabi–Yau manifolds appear in their solutions, but not in simpler approximations. These geometrical structures help to describe the energy emitted during the scattering of gravitational waves and offer a link between general relativity and geometry.

Cover image: Mathias Driesse/Humboldt University Berlin.

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