# Paul Tod: Asymptotically $AdS_2\times S^2$ metrics satisfying the Null Energy Condition

Tid: Ti 2019-09-17 kl 11.00 - 12.00

Föreläsare: Paul Tod, University of Oxford

Plats: Seminar Hall Kuskvillan, Institut Mittag-Leffler

### Abstract

We find the most general metric ansatz compatible with the results of Galloway and Graf constraining asymptotically $$AdS_2\times S^2$$ space-times (and a differentiability assumption), and then study its curvature subject to a variety of geometrical and physical restrictions. In particular we find explicit examples which are asymptotically $$AdS_2\times S^2$$ metrics, in the sense of Galloway and Graf, and which satisfy the Null Energy Condition but which differ from $$AdS_2\times S^2$$.

Innehållsansvarig:webmaster@math.kth.se
Tillhör: Institutionen för matematik