Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Asymptotic Flatness and Lorentz Charges   In this paper we establish two results concerning four-dimensional
asymptotically flat spacetimes at spatial infinity. First, we show that the six
conserved Lorentz charges are encoded in two unique, distinct, but mutually
dual symmetric divergence free tensors that we construct from the equations of
motion. Second, we show that integrability of Einstein's equations in the
asymptotic expansion is sufficient to establish the equivalence between
counter-term charges defined from the variational principle and charges defined
by Ashtekar and Hansen. These results clarify earlier constructions of
conserved charges in the hyperboloid representation of spatial infinity. In
showing this, parity condition on the mass aspect is not needed. Along the way
in establishing these results, we prove two lemmae on tensor fields on three
dimensional de Sitter spacetime stated by Ashtekar-Hansen and Beig-Schmidt and
state and prove three additional lemmae.

22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th