Electric and magnetic Weyl tensors in higher dimensions
Sigbj{\o}rn Hervik, Marcello Ortaggio, Lode Wylleman
TL;DR
This paper summarizes recent findings on electric and magnetic properties of Weyl tensors in higher-dimensional spacetimes, focusing on their types, diagonalizability, and conditions for PE/PM characteristics in product spacetimes.
Contribution
It consolidates recent results on PE/PM Weyl tensors in higher dimensions, highlighting classifications and conditions for these properties.
Findings
Classification of Weyl types for PE/PM spacetimes
Conditions for diagonalizability of Weyl tensors
Criteria for direct or warped products to be PE/PM
Abstract
Recent results on purely electric (PE) or magnetic (PM) spacetimes in n dimensions are summarized. These include: Weyl types; diagonalizability; conditions under which direct (or warped) products are PE/PM.
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