Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Electric-Magnetic decomposition of fields, positivity and
  Rainich-like conditions   We show how to generalize the classical electric-magnetic decomposition of
the Maxwell or the Weyl tensors to arbitrary fields described by tensors of any
rank in general $n$-dimensional spacetimes of Lorentzian signature. The
properties and applications of this decomposition are reviewed. In particular,
the definition of tensors quadratic in the original fields and with important
positivity properties is given. These tensors are usually called "super-energy"
(s-e) tensors, they include the traditional energy-momentum, Bel and
Bel-Robinson tensors, and satisfy the so-called Dominant Property, which is a
straightforward generalization of the classical dominant energy condition
satisfied by well-behaved energy-momentum tensors. We prove that, in fact, any
tensor satisfying the dominant property can be decomposed as a finite sum of
the s-e tensors. Some remarks about the conservation laws derivable from s-e
tensors, with some explicit examples, are presented. Finally, we will show how
our results can be used to provide adequate generalizations of the Rainich
conditions in general dimension and for any physical field.

24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci