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IOP Publishing, Journal of Physics: Conference Series, (229), p. 012021, 2010

DOI: 10.1088/1742-6596/229/1/012021

IOP Publishing, Journal of Physics: Conference Series, (229), p. 011001, 2010

DOI: 10.1088/1742-6596/229/1/011001

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Spanish Relativity Meeting/ERE2009 Gravitation in the Large

Journal article published in 2010 by Oihane F. Blanco, Ruth Lazkoz, Miguel Sánchez ORCID, Raül Vera, Miguel Sanchez, Jose M. M. Senovilla
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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 ($R_{λμνρ;α;β}=0$) which are not locally symmetric ($R_{λμνρ;α}\neq 0$). 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