Classification of third-order symmetric Lorentzian manifolds
نویسندگان
چکیده
منابع مشابه
Second-Order Symmetric Lorentzian Manifolds
Spacetimes with vanishing second covariant derivative of the Riemann tensor are studied. Their existence, classification and explicit local expression are considered. Related issues and open questions are briefly commented.
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The n-dimensional Lorentzian manifolds with vanishing second covariant derivative of the Riemann tensor — 2–symmetric spacetimes— are characterized and classified. The main result is that either they are locally symmetric or they have a co-variantly constant null vector field, in this case defining a subfamily of Brinkmann's class in n dimensions. Related issues and applications are considered,...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2014
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/32/2/025001