Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16244
Title: | Radiation from a D-dimensional collision of shock waves: two-dimensional reduction and Carter–Penrose diagram |
Author: | Coelho, Flávio Sampaio, Marco O. P. |
Keywords: | Gravitational radiation Trans-Planckian collisions Large extra dimensions |
Issue Date: | Aug-2016 |
Publisher: | World Scientific |
Abstract: | We analyze the causal structure of the two-dimensional (2D) reduced background used in the perturbative treatment of a head-on collision of two D-dimensional Aichelburg–Sexl gravitational shock waves. After defining all causal boundaries, namely the future light-cone of the collision and the past light-cone of a future observer, we obtain characteristic coordinates using two independent methods. The first is a geometrical construction of the null rays which define the various light cones, using a parametric representation. The second is a transformation of the 2D reduced wave operator for the problem into a hyperbolic form. The characteristic coordinates are then compactified allowing us to represent all causal light rays in a conformal Carter–Penrose diagram. Our construction holds to all orders in perturbation theory. In particular, we can easily identify the singularities of the source functions and of the Green’s functions appearing in the perturbative expansion, at each order, which is crucial for a successful numerical evaluation of any higher order corrections using this method. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16244 |
DOI: | 10.1142/S0218271816410108 |
ISSN: | 1793-6594 |
Appears in Collections: | DFis - Artigos |
Files in This Item:
File | Description | Size | Format | |
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coelho2016_shocks_penrose.pdf | 752.62 kB | Adobe PDF | ||
1604.02154.pdf | 897.93 kB | Adobe PDF | View/Open |
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