Area-charge inequality for black holes

Details Area-charge inequality for black holes Area-charge inequality for black holes

2011-09-26

arxiv.org/abs/1109.5602v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 2 figures

Scientific paper

The inequality between area and charge $A\geq 4\pi Q^2$ for dynamical black
holes is proved. No symmetry assumption is made and charged matter fields are
included. Extensions of this inequality are also proved for regions in the
spacetime which are not necessarily black hole boundaries.

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