Abstract
We prove that the boundary of the future of a surface consists precisely of the points that lie on a null geodesic orthogonal to such that between and there are no points conjugate to nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.
- Received 5 December 2017
DOI:https://doi.org/10.1103/PhysRevD.97.024018
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society