Giovanni Arcioni et al JHEP07(2001)035 doi:10.1088/1126-6708/2001/07/035
Giovanni Arcioni1, Sebastian de Haro2 and Martin O'Loughlin3
Show affiliationsWe 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 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.
E-print Number: hep-th/0104039
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11.25.Hf Conformal field theory, algebraic structures
Issue 07 ( 1 July 2001)
Received 8 May 2001, accepted for publication 24 July 2001
Published 3 August 2001
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