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Integrable systems in gravity: a Riemann-Hilbert approach

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BLH - Black holes: bridges between number theory and holographic quantum information

We review recent progress in obtaining explicit solutions to the non-linear field equations of some gravitational theories by means of a Riemann-Hilbert approach and the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices, and we describe other types of factorisation from which explicit solutions can be constructed in a similar manner. Examples of applications include Kasner, Einstein-Rosen wave and gravitational pulse wave solutions.

This talk is part of the Isaac Newton Institute Seminar Series series.

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