Second-order symmetric Lorentzian manifolds II: structure and global properties

Abstract

We give a summary of recent results on the explicit local form of the second-order symmetric Lorentzian manifolds in arbitrary dimension, and its global version. These spacetimes turn out to be essentially a specific subclass of plane waves.

4 pages, jpconf.cls, to appear in Proceedings of Spanish Relativity Meeting 2010 (ERE 10), Granada

References in corpus (5)

• Classification of the Weyl Tensor in Higher Dimensions and Applications
• Note on (conformally) semi-symmetric spacetimes
• Algebraic classification of the Weyl tensor in higher dimensions based on its "superenergy" tensor
• Second-order symmetric Lorentzian manifolds II: structure and global properties
• 2nd-order symmetric Lorentzian manifolds I: characterization and general results

Cited by in corpus (2)

• Second-order symmetric Lorentzian manifolds II: structure and global properties
• Structure of second-order symmetric Lorentzian manifolds