Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Density and positive mass theorems for initial data sets with boundary   We prove a harmonic asymptotics density theorem for asymptotically flat
initial data sets with compact boundary that satisfy the dominant energy
condition. We use this to settle the spacetime positive mass theorem, with
rigidity, for initial data sets with apparent horizon boundary in dimensions
less than $8$ without a spin assumption.

14
The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th