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SUMMARY:Solving Einstein field equations by Wiener-Hopf factorisation and 
 beyond - M. Cristina Câmara (University of Lisbon)
DTSTART:20240703T091500Z
DTEND:20240703T094500Z
UID:TALK214921@talks.cam.ac.uk
DESCRIPTION:The Einstein field equations of General Relativity are a syste
 m 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 &nbsp\;boundary value p
 roblem of a particular type and solving a matricial Wiener-Hopf factorizat
 ion problem.In this talk we generalise the Riemann-Hilbert approach and in
 troduce an invariance problem providing other types of factorisation that 
 also yield solutions to the field equations\, as well as a new solution ge
 nerating method by matrix multiplication.Based on joint work with Gabriel 
 L. Cardoso.
LOCATION:Seminar Room 1\, Newton Institute
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