The Boundary of the Future
High Energy Physics - Theory
2018-01-17 v2 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1711.06689,
title = {The Boundary of the Future},
author = {Chris Akers and Raphael Bousso and Illan F. Halpern and Grant N. Remmen},
journal= {arXiv preprint arXiv:1711.06689},
year = {2018}
}
Comments
8 pages, 6 figures