Seminar

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

#### Paul Tod - Oxford University

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 $AdS_2\times S^2$.
Organizers
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Mattias Dahl
KTH Royal Institute of Technology
Philippe G. LeFloch
Sorbonne University
Richard Schoen
University of California, Irvine

Mattias Dahl

dahl@kth.se

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