Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New conserved currents for vacuum space-times in dimension four with a
  Killing vector   A new family of conserved currents for vacuum space-times with a Killing
vector is presented. The currents are constructed from the superenergy tensor
of the Mars-Simon tensor and using the positivity properties of the former we
find that the conserved charges associated to the currents have natural
positivity properties in certain cases. Given the role played by the Mars-Simon
tensor in local and semi-local characterisations of the Kerr solution, the
currents presented in this work are useful to construct non-negative scalar
quantities characterising Kerr initial data (known in the literature as
non-Kerrness) which in addition are conserved charges.

31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio