A new approach to the dynamics of AdS space-times

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Santos-Oliván, Daniel^1 ; Sopuerta, Carlos F.^1

Institut de Ciències de l'Espai (CSIC-IEEC), Campus UAB, Bellaterra

08193, Spain^1

关键词: AdS/CFT;    Conformally invariant quantum field theories;    Massless scalar fields;    New approaches;    Space time;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012019/pdf
DOI  :  10.1088/1742-6596/600/1/012019

来源: IOP

【 摘 要 】

In the last years, the stability of Anti-de Sitter (AdS) space-times has attracted a lot of attention. Not only because of its own importance but primarily due to the AdS/CFT correspondence that conjectures an equivalence between an string theory on an asymptotically AdS space-time and a conformally invariant quantum field theory (CFT). Recently, Bizon and Rostworowski (2011) showed that the boundary of AdS prevents energy from dispersing. As a consequence, AdS perturbations will collapse after bouncing back from the AdS boundary a sufficient number of times for their energy to be concentrated enough. The details of the mechanisms that triggers the instability are currently an active topic of discussion. Here, we present a new approach to the problem of the collapse of a massless scalar field that introduces a transition from a Cauchy-based evolution to a charateristic one that is able to track with greater accuracy the latest stages of the collapse.