Boundary description of Planckian scattering in curved space-times

Apr, 2001
28 pages
Published in:
  • JHEP 07 (2001) 035
e-Print:
Report number:
  • DFTT-7-2001,
  • SPIN-2001-06,
  • ITP-UU-01-11,
  • SISSA-31-2001-EP

Citations per year

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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 AdSAdS to those of Horowitz and Itzhaki.
  • space-time
  • gravitation
  • approximation: eikonal
  • holography
  • scaling
  • scattering
  • shock waves
  • field theory: scalar