Lorentzian spacetimes with constant curvature invariants in four dimensions

Autor:	Coley, Alan, Hervik, Sigbjorn, Pelavas, Nicos
Rok vydání:	2009
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	Class.Quant.Grav.26:125011,2009
Druh dokumentu:	Working Paper
DOI:	10.1088/0264-9381/26/12/125011
Popis:	In this paper we investigate four dimensional Lorentzian spacetimes with constant curvature invariants ($CSI$ spacetimes). We prove that if a four dimensional spacetime is $CSI$, then either the spacetime is locally homogeneous or the spacetime is a Kundt spacetime for which there exists a frame such that the positive boost weight components of all curvature tensors vanish and the boost weight zero components are all constant. We discuss some of the properties of the Kundt-$CSI$ spacetimes and their applications. In particular, we discuss $\mathcal{I}$-symmetric spaces and degenerate Kundt $CSI$ spacetimes. Comment: 20pages, CQG accepted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0904.4877 Zobrazit plný text záznamu View this record from Arxiv