Finalizing the classification of type II or more special Einstein spacetimes in five dimensions

Autor:	Wylleman, Lode
Rok vydání:	2015
Předmět:	General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	Einstein spacetimes in 5d that are of genuine type II in the null alignment classification are considered. It is shown that the unique geodesic multiple Weyl aligned null direction (mWAND) cannot have an optical matrix of rank 1 or 3. This finalizes the classification of all type II or more special Einstein spacetimes in 5d (i.e., those allowing for an mWAND), and also proves that they all satisfy the so-called optical constraint.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1511.02824 Zobrazit plný text záznamu View this record from Arxiv