Boundary description of Planckian scattering in curved spacetimes
arXiv:hep-th/0104039 · doi:10.1088/1126-6708/2001/07/035
Abstract
We show that for an eikonal limit of gravity in a space-time of any dimension with a non-vanishing cosmological constant, the Einstein -- Hilbert action reduces to a boundary action. This boundary action describes the interaction of shock-waves up to the point of evolution at which the forward light-cone of a collision meets the boundary of the space-time. The conclusions are quite general and in particular generalize the previous work of E. and H. Verlinde. The role of the off-diagonal Einstein action in removing the bulk part of the action is emphasised. We discuss the sense in which our result is a particular example of holography and also the relation of our solutions in to those of Horowitz and Itzhaki.
28 pages, JHEP latex
References in corpus (2)
Cited by in corpus (17)
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