Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Einstein-Euler-Heisenberg Theory and charged black holes   Taking into account the Euler-Heisenberg effective Lagrangian of one-loop
nonperturbative quantum electrodynamics (QED) contributions, we formulate the
Einstein-Euler-Heisenberg theory and study the solutions of nonrotating black
holes with electric and magnetic charges in spherical geometry. In the limit of
strong and weak electromagnetic fields of black holes, we calculate the black
hole horizon radius, area, and total energy up to the leading order of QED
corrections and discuss the black hole irreducible mass, entropy, and maximally
extractable energy as well as the Christodoulou-Ruffini mass formula. We find
that these black hole quantities receive the QED corrections, in comparison
with their counterparts in the Reissner-Nordstr\"om solution. The QED
corrections show the screening effect on black hole electric charges and the
paramagnetic effect on black hole magnetic charges. As a result, the black hole
horizon area, irreducible mass, and entropy increase; however, the black hole
total energy and maximally extractable energy decrease, compared with the
Reissner-Nordstr\"om solution. In addition, we show that the condition for
extremely charged black holes is modified due to the QED correction.

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The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
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The categories of this paper are: eess
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph