A Penrose-like inequality with charge
نویسندگان
چکیده
We establish a Penrose-like inequality for general (not necessarily timesymmetric) 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 equationwhich incorporates the charge. In addition, a corrected version of the Penrose-like inequality (Commun Math Phys 290(2):779–788, 2009) is presented.
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