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 > HEP/GR Informal Seminar Series for Graduate Students > The wave equation as a poor man's linearisation of the Einstein equations

## The wave equation as a poor man's linearisation of the Einstein equationsAdd to your list(s) Download to your calendar using vCal - Damon Civin
- Wednesday 13 March 2013, 16:00-17:00
- CMS, Potter Room (B1.19) .
If you have a question about this talk, please contact Amanda Stagg. The Einstein field equations (EFE) can be written in harmonic coordinates as a system of quasilinear wave equations. This allows for the study of the (EFE) within the theory of hyperbolic PDE . In particular, this can be used to study well-posedness and stability of the (EFE) for a large class of initial data. I’ll focus on the linear wave equation, which is the prototype hyperbolic PDE . It can also be viewed as a “poor man’s linearisation” of the (EFE). Therefore the study of boundedness and decay of solutions of the wave equation on a fixed black hole background are a first step towards stability of the background as a solution of the (EFE). I’ll start off by discussing this “poor man’s linearisation” and recalling what well-posedness means. We’ll then move onto the highlights of the proof of well-posedness the Cauchy problem for the wave equation. Along the way, we’ll run into some Sobolev spaces and energy estimates, and I will try to convince you of their power and naturality. Time permitting, I’ll discuss the heuristics of my work on the linear stability of subextremal Kerr-Newman spacetimes. This talk is part of the HEP/GR Informal Seminar Series for Graduate Students series. ## This talk is included in these lists:- All CMS events
- CMS Events
- CMS, Potter Room (B1.19)
- Cosmology, Astrophysics and General Relativity
- DAMTP info aggregator
- HEP/GR Informal Seminar Series for Graduate Students
- Interested Talks
- bld31
Note that ex-directory lists are not shown. |
## Other listsDevelopmental Neurobiology Seminar Series Environment on the Edge Lecture Series Business and Society Research Group## Other talksADMM for Exploiting Structure in MPC Problems Phylogenetic hypothesis of the Oleeae tribe (Oleaceae) Diversification and molecular evolution patterns in plastid and nuclear ribosomal DNA Developing and Selecting Tribological Coatings Small Opuntioideae Mechanical performance of wall structures in 3D printing processes: theory, design tools and experiments The role of transcription factors in cancer |