Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On stationary solutions to the non-vacuum Einstein field equations   We derive a local curvature estimate for four-dimensional stationary
solutions to the inheriting Einstein-Maxwell-Klein-Gordon equations. In
particular, it implies that any such stationary geodesically complete solution
with vanishing Poynting vector and proper coupling constants (like dark energy)
is flat. We also generalize the result to higher dimensions.

35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
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
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys