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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > A Riemann-Hilbert approach to Einstein field equations

## A Riemann-Hilbert approach to Einstein field equationsAdd to your list(s) Download to your calendar using vCal - Cristina Camara (Instituto Superior Técnico, Lisboa)
- Tuesday 13 August 2019, 14:30-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. WHTW01 - Factorisation of matrix functions: New techniques and applications The field equations of gravitational theories in 4 dimensions are non-linear PDE 's that are difficult to solve in general. By restricting to a subspace of solutions that only depend on two space-time coordinates, alternative approaches to solving those equations become available. We present here the Riemann-Hilbert approach, looking at the dimensionally reduced field equations as an integrable system associated to a certain Lax pair, whose solutions can be obtained by factorizing a so called monodromy matrix. This approach allows for the explicit construction of solutions to the non-linear gravitational field equations using simple complex analytic methods. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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