Complete classification of second-order symmetric spacetimes

Autor:	Blanco, O F, Sánchez, M, Senovilla, J M M
Rok vydání:	2010
Předmět:	General Relativity and Quantum Cosmology Mathematics - Differential Geometry
Zdroj:	J. Phys.: Conf. Ser. 229 (2010) 011001 (Ed. Ruth Lazkoz and Raul Vera), 012021 (4 p.)
Druh dokumentu:	Working Paper
DOI:	10.1088/1742-6596/229/1/011001
Popis:	As a difference with the positive-definite Riemannian case, in the Lorentzian case there exists proper second-order symmetric spacetimes, i.e., those with vanishing second covariant derivative of the Riemannian tensor ($R_{\lambda\mu\nu\rho;\alpha;\beta}=0$) which are not locally symmetric ($R_{\lambda\mu\nu\rho;\alpha}\neq 0$). In fact, they lie in the class of Brinkmann metrics, and include some known plane waves. Our purpose is to classify these spacetimes in the 4 dimensional case. Comment: 4 pages, jpconf.cls, to appear in Proceedings of Spanish Relativity Meeting 2009 (ERE 09), Bilbao
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1001.3629 Zobrazit plný text záznamu View this record from Arxiv