Boundary description of Planckian scattering in curved space-times
Apr, 200128 pages
Published in:
- JHEP 07 (2001) 035
e-Print:
- hep-th/0104039 [hep-th]
Report number:
- DFTT-7-2001,
- SPIN-2001-06,
- ITP-UU-01-11,
- SISSA-31-2001-EP
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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 to those of Horowitz and Itzhaki.- space-time
- gravitation
- approximation: eikonal
- holography
- scaling
- scattering
- shock waves
- field theory: scalar
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