1306.0903 (Marco O. P. Sampaio)

Radiation from a D-dimensional collision of shock waves: numerical
methods    [PDF]

Marco O. P. Sampaio

We present a pedagogical introduction to the problem of evolving a head on collision of two Aichelburg-Sexl gravitational shock waves in D-dimensions, using perturbative techniques. We follow a constructive approach with examples, going in some detail through: the set up of the exact initial conditions and their properties; perturbative methods in flat space-time with Green function solutions; and numerical strategies to evaluate the integral solutions. We also discuss, briefly, radiation extraction methods adapted to this problem, together with some of the results for this system.

View original: http://arxiv.org/abs/1306.0903