Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Penrose-Like Inequality with Charge   We establish a Penrose-like inequality for general (not necessarily
time-symmetric) initial data sets of the Einstein-Maxwell equations, which
satisfy the dominant energy condition. More precisely, it is shown that the ADM
energy is bounded below by an expression which is proportional to the sum of
the square root of the area of the outermost future (or past) apparent horizon
and the square of the total charge. The proportionality constants depend on the
solution to a linear elliptic equation which incorporates the charge. In
addition, a corrected version of the Penrose-like inequality in [13] is
presented.

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The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con