Generalized Rainich conditions, generalized stress-energy conditions, and the Hawking-Ellis classification
Abstract
The (generalized) Rainich conditions are algebraic conditions which are polynomial in the (mixed-component) stress-energy tensor. As such they are logically distinct from the usual classical energy conditions (NEC, WEC, SEC, DEC), and logically distinct from the usual Hawking-Ellis (Segr\'e-Pleba\'nski) classification of stress-energy tensors (type I, type II, type III, type IV). There will of course be significant inter-connections between these classification schemes, which we explore in the current article. Overall, we shall argue that it is best to view the (generalized) Rainich conditions as a refinement of the classical energy conditions and the usual Hawking-Ellis classification.
Keywords
Cite
@article{arxiv.1707.04172,
title = {Generalized Rainich conditions, generalized stress-energy conditions, and the Hawking-Ellis classification},
author = {Prado Martín-Moruno and Matt Visser},
journal= {arXiv preprint arXiv:1707.04172},
year = {2017}
}
Comments
V1: 20 pages. V2: Matches published version, now 18 pages (new format), minor clarifications added