Estudio de la formación de superficies atrapadas en colisiones de ondas gravitacionales de choques anchas en espacio plano

Abstract

In this work, we illustrate a brief study in flat space-time and arbitrary dimension, about the production and formation of the trapped surfaces in the collision of gravitational shock waves. In particular, we have focused our interest on waves whose energy density distribution in transverse space has non-zero size (fat shock waves). To do this, we have proposed two models in which energy density is a Heaviside's distribution (solid sphere model) and Woods-Saxon's distribution, this with the aim of modelling ultrarelativistic heavy-ion collision at high energy. In theory, it's possible to estimate the effective cross-section for micro black holes production following this scheme. The proposed models show that there are energy density widths for which there is no solution to the trapped surface equation. In addition, when the trapped surface reaches its critical size, we find scaling relations characterized by critical exponents independent of the dimension.