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Boundary description of planckian scattering in curved spacetimes

Giovanni Arcioni1, Sebastian de Haro2 and Martin O'Loughlin3

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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 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.


Keywords

Black Holes

Models of Quantum Gravity

AdS-CFT and dS-CFT Correspondence

 

E-print Number: hep-th/0104039

Cited: by |

Refers: to

PACS

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

11.25.Hf Conformal field theory, algebraic structures

97.60.Lf Black holes

04.70.-s Physics of black holes

04.60.-m Quantum gravity

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 07 ( 1 July 2001)

Received 8 May 2001, accepted for publication 24 July 2001

Published 3 August 2001



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