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The Black Hole Stability Problem in Higher Dimensions: An Instability Theorem

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The black hole stability problem is a central problem in mathematical general relativity. In the context of the stability problem in higher dimensions, I will present a theorem concerning decay of linear, scalar perturbations on a family of five-dimensional stationary, asymptotically flat vacuum black holes, called black rings. Such result strongly suggests that the stability properties of black holes in five dimensions remarkably differ from those observed in dimension four. In particular, the theorem supports the expectation that black rings are dynamically unstable to generic perturbations, complementing previous works in this direction.

This talk is part of the DAMTP Friday GR Seminar series.

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Average on weekdays: 9193.59020619 kWh Kenneth Craik Room, Craik Marshall Building, Downing Site, Cambridge Faculty of Divinity (West Road), Room 2 (TBC)

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