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

Time: Tue 2019-09-17 11.00 - 12.00

Lecturer: Paul Tod, University of Oxford

Location: 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 $$AdS_2\times S^2$$.

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Last changed: Sep 11, 2019