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Colliding AdS gravitational shock waves in various dimensions and holography

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Abstract

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.

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Authors and Affiliations

  1. Departamento de Física Fundamental, Universidad de Salamanca, Plaza de la Merced s/n, E-37008, Salamanca, Spain

    Álvaro Dueñas-Vidal & Miguel A. Vázquez-Mozo

  2. Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, Salamanca, Spain

    Álvaro Dueñas-Vidal & Miguel A. Vázquez-Mozo

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  1. Álvaro Dueñas-Vidal
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  2. Miguel A. Vázquez-Mozo
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Correspondence to Miguel A. Vázquez-Mozo.

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ArXiv ePrint: 1004.2609

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Dueñas-Vidal, Á., Vázquez-Mozo, M.A. Colliding AdS gravitational shock waves in various dimensions and holography. J. High Energ. Phys. 2010, 21 (2010). https://doi.org/10.1007/JHEP07(2010)021

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