Focusing and the Holographic Hypothesis

Details Focusing and the Holographic Hypothesis Focusing and the Holographic Hypothesis

1996-02-22

arxiv.org/abs/gr-qc/9602043v1

Phys.Rev.D53:6720-6724,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, plain latex, 5 figures included using psfig

Scientific paper

10.1103/PhysRevD.53.R6720

The ``screen mapping" introduced by Susskind to implement 't Hooft's holographic hypothesis is studied. For a single screen time, there are an infinite number of images of a black hole event horizon, almost all of which have smaller area on the screen than the horizon area. This is consistent with the focusing equation because of the existence of focal points. However, the {\it boundary} of the past (or future) of the screen obeys the area theorem, and so always gives an expanding map to the screen, as required by the holographic hypothesis. These considerations are illustrated with several axisymmetric static black hole spacetimes.

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