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The wave equation in general relativity

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If you have a question about this talk, please contact Edward Mottram.

In this talk I will motivate the study of the wave equation on black hole spacetimes as a first step towards stability and instability results for black holes.

The level of the talk will be introductory, beginning with a (very brief and basic) discussion of Lorentzian geometry, the Einstein Field Equations and the method of vector field multipliers.

Thereafter I’ll discuss my work on the linear stability of the Kerr-Newman family of spacetimes in very broad strokes. Time permitting, this will lead into the geometric microlocalisation of the problem.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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