A Riemann-Hilbert approach to Einstein field equations

Add 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 INI IT.

This talk has been canceled/deleted

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:

This talk is not included in any other list

Note that ex-directory lists are not shown.