Advances in Theoretical and Mathematical Physics

Volume 21 (2017)

Number 7

Special Issue: Proceedings of the Strings 2016 Conference in Beijing

Guest Editors: J. Maldacena (Institute for Advanced Study), H. Ooguri (California Institute of Technology), H. Babak (Harvard University), S. Li (Tsinghua University), W. Song (Tsinghua University), and H. Lin (Tsinghua University)

Recovering the spacetime metric from a holographic dual

Pages: 1635 – 1653

DOI: https://dx.doi.org/10.4310/ATMP.2017.v21.n7.a2

Authors

Netta Engelhardt (Department of Physics, Princeton University, Princeton, New Jersey, U.S.A.)

Gary T. Horowitz (Department of Physics, University of California at Santa Barbara)

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.

This work was supported in part by NSF Grant PHY-1504541. The work of NE was also supported in part by NSF grant PHY-1620059.

Published 19 March 2018