Relative entropy as a measure of inhomogeneity in general relativity
نویسندگان
چکیده
منابع مشابه
Relative entropy as a measure of inhomogeneity in general relativity
We introduce the notion of relative volume entropy for two spacetimes with preferred compact spacelike foliations. This is accomplished by applying the notion of Kullback-Leibler divergence to the volume elements induced on spacelike slices. The resulting quantity gives a lower bound on the number of bits which are necessary to describe one metric given the other. For illustration, we study som...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2012
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3675440