University of Cambridge > Talks.cam > DAMTP Friday GR Seminar > A geometric invariant measuring the deviation from Kerr data

A geometric invariant measuring the deviation from Kerr data

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact David Kubiznak.

I will discuss the construction of a geometrical invariant for regular asymptotically Euclidean data for the vacuum Einstein field equations. This invariant vanishes if and only if the data corresponds to a slice of the Kerr black hole spacetime, thus, it provides a measure of the non-Kerrness of generic data. In order to motivate the construction of the geometric invariant, I will discuss a characterisation of the Kerr spacetime using valence 2 Killing spinors this will lead to the notion of approximate Killing spinors. An approximate Killing spinor is a valence 2 symmetric spinor satisfying a system of second order linear elliptic equations. The existence of solutions to this elliptic system with the appropriate behaviour at infinity will be discussed. This is work in collaboration with T. Backdahl.

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

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2017 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity