Twistors and Holography
Abstract
We extend Bousso's notion of a lightsheet - a surface where entropy can be defined in a way so that the entropy bound is satisfied - to more general surfaces. Intuitively these surfaces may be regarded as deformations of the Bousso choice; in general, these deformations will be timelike and so we refer to them as `timesheets'. We show that a timesheet corresponds to a section of a certain twistor bundle over a given spacelike two-surface B. We further argue that increasing the entropy flux through a given region corresponds to increasing the volume of certain regions in twistor space. We further argue that in twistor space, it might be possible to give a purely topological characterization of a lightsheet, at least for suitably simple spacetimes.
Cite
@article{arxiv.hep-th/0401094,
title = {Twistors and Holography},
author = {Andrew Chamblin},
journal= {arXiv preprint arXiv:hep-th/0401094},
year = {2009}
}
Comments
4 pages revtex, clarifying remarks have been added, this is the version published in Classical and Quantum Gravity