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M. Cristina Câmara (University of Lisbon)
Wednesday 03 July 2024, 10:15-10:45
Solving Einstein field equations by Wiener-Hopf factorisation and beyond
- 👤 Speaker: M. Cristina Câmara (University of Lisbon)
- 📅 Date & Time: Wednesday 03 July 2024, 10:15 - 10:45
- 📍 Venue: Seminar Room 1, Newton Institute
Abstract
The Einstein field equations of General Relativity are a system of non-linear partial differential equations for the space-time metric. Remarkably, exact solutions to these non-linear equations can be obtained by reformulating the problem as a Riemann-Hilbert boundary value problem of a particular type and solving a matricial Wiener-Hopf factorization problem.In this talk we generalise the Riemann-Hilbert approach and introduce an invariance problem providing other types of factorisation that also yield solutions to the field equations, as well as a new solution generating method by matrix multiplication.Based on joint work with Gabriel L. Cardoso.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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