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arXiv · hep-th/0104039

Boundary description of Planckian scattering in curved spacetimes

G. Arcioni·S. de Haro·M. O'Loughlin
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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 $AdS$ to those of Horowitz and Itzhaki.

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G. Arcioni, S. de Haro, M. O'Loughlin. 2001-05-08. Boundary description of Planckian scattering in curved spacetimes. https://doi.org/10.1088/1126-6708%2F2001%2F07%2F035

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