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3 Area Increase Law

As mentioned in the introduction, the dynamical horizon framework has led to a monotonicity formula governing the growth of black holes. In this section, we summarize this result. Our discussion is divided into three parts. The first spells out the strategy, the second presents a brief derivation of the basic formula, and the third is devoted to interpretational issues.

 3.1 Preliminaries
 3.2 Area increase law
 3.3 Energy flux due to gravitational waves

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