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 > Impulsive gravitational waves

## Impulsive gravitational wavesAdd to your list(s) Download to your calendar using vCal - Jonathan Luk (Princeton)
- Monday 24 October 2011, 16:00-17:00
- CMS, MR15.
If you have a question about this talk, please contact Jonathan Ben-Artzi. We consider spacetimes satisfying the vacuum Einstein equations with impulsive gravitational waves without symmetry assumptions. These are spacetimes such that the Riemann curvature tensor has a delta singularity across a null hypersurface. We prove local existence and uniqueness for the characteristic initial value problem with initial data that has a delta singularity in the curvature tensor. A precise description of the propagation of singularity is also given. The proof introduces a new type of energy estimates for the vacuum Einstein equations, allowing the $L^2$ norm of some components of the curvature tensor to be infinite. The new estimate allows us to prove local existence for a general class of initial data which is non-regular along a null direction. We will discuss extensions of this theorem, which can be applied to understand colliding impulsive gravitational waves and the formation of trapped surface. This is joint work with I. Rodnianski. 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, MR15
- DPMMS Lists
- DPMMS Pure Maths Seminar
- DPMMS info aggregator
- DPMMS lists
- Geometric Analysis and Partial Differential Equations seminar
- Hanchen DaDaDash
- Interested Talks
- My seminars
- School of Physical Sciences
- bld31
Note that ex-directory lists are not shown. |
## Other listsCambridge Society for Economic Pluralism Climate Science Seminars within Cambridge Thinking Society: The Place of the Intellectual## Other talksLiver Regeneration in the Damaged Liver Saving our bumblebees What is the Market Potential of Multilingualism? Breast cancer - demographics, presentation, diagnosis and patient pathway The Warsaw Uprising in Polish Popular Culture after 1989 Knot Floer homology and algebraic methods Existence of Lefschetz fibrations on Stein/Weinstein domains From Euler to Poincare A rose by any other name Lunchtime Talk: Helen's Bedroom Social support and breastfeeding in the UK: evolutionary perspectives and implications for public health |