COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Geometric Analysis and Partial Differential Equations seminar > Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimes

## Time-translation invariance of scattering maps and blue-shift instabilities on Kerr black hole spacetimesAdd to your list(s) Download to your calendar using vCal - Yakov Shlapentokh-Rothman (Princeton)
- Monday 22 February 2016, 15:00-16:00
- CMS, MR13.
If you have a question about this talk, please contact Prof. Mihalis Dafermos. The goal of this talk will be to provide an elementary, unified treatment of two distinct blue-shift instabilities for the scalar wave equation on a fixed Kerr black hole background: the celebrated blue-shift at the Cauchy horizon (familiar from the strong cosmic censorship conjecture) and the time-reversed red-shift at the event horizon (relevant in classical scattering theory). After a review of our recently developed scattering theory for the wave equation (joint work with Mihalis Dafermos and Igor Rodnianski), we will present two theorems. The first theorem constructs solutions to the wave equation on Kerr spacetimes such that the radiation field along the future event horizon vanishes and the radiation field along future null infinity decays at an arbitrarily fast polynomial rate, yet, the local energy of the solution is infinite near any point on the future event horizon. The second theorem constructs solutions to the wave equation on rotating Kerr spacetimes such that the radiation field along the past event horizon (extended into the black hole) vanishes and the radiation field along past null infinity decays at an arbitrarily fast polynomial rate, yet, the local energy of the solution is infinite near any point on the Cauchy horizon. This is joint work with Mihalis Dafermos. This talk is part of the Geometric Analysis and Partial Differential Equations seminar series. ## This talk is included in these lists:- All CMS events
- All Talks (aka the CURE list)
- CMS Events
- CMS, MR13
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Geometric Analysis and Partial Differential Equations seminar
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsCamtessential Group Moral Psychology Research Group Computational and Biological Learning Seminar Series## Other talksThe Warsaw Uprising in Polish Popular Culture after 1989 Future directions panel CANCELLED DUE TO STRIKE ACTION Recent advances in understanding climate, glacier and river dynamics in high mountain Asia A tale of sleepless flies and ninna nanna. How Drosophila changes what we know about sleep. Ethics for the working mathematician, seminar 10: Mathematicians being leaders. |