Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-04-15
J. High Energy Phys. 07 (2010) 021
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, 11 figures. v2: minor changes, typos corrected. To appear in JHEP
Scientific paper
10.1007/JHEP07(2010)021
The formation of marginally trapped surfaces in the off-center collision of two shock waves on AdS_D (with D=4,5,6,7 and 8) is studied numerically. We focus on the case when the two waves collide with nonvanishing impact parameter while the sources are located at the same value of the holographic coordinate. In all cases a critical value of the impact parameter is found above which no trapped surface is formed. The numerical results show the existence of a simple scaling relation between the critical impact parameter and the energy of the colliding waves. Using the isometries of AdS_D we relate the solutions obtained to the ones describing the collision of two waves with a purely holographic impact parameter. This provides a gravitational dual for the head-on collision of two lumps of energy of unequal size.
Duenas-Vidal Alvaro
Vazquez-Mozo Miguel Angel
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