Recovering the spacetime metric from a holographic dual

Abstract

We review our recent proposal to use certain spatial cross-sections of the boundary at infinity -- light-cone cuts -- to recover the conformal metric in the bulk. We discuss some extensions of this work, including how to obtain the conformal metric near the horizon of a collapsing black hole. We also show how to obtain the conformal factor under certain conditions.

16 pages, 5 figures. To appear in the proceedings of the Strings conference, Beijing, August, 2016. v2: typo corrected