期刊
PHYSICS LETTERS B
卷 758, 期 -, 页码 9-13出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2016.04.043
关键词
Cosmic inhomogeneities; Information entropy; Large scale structure
资金
- European Union [PCOFUND-GA-2009-246542]
- CMAT through FEDER Funds COMPETE
- FCT [Est-OE/MAT/UI0013/2014, SFRH/BCC/105835/2014, CERN/FP/123609/2011]
- Japan Society for the Promotion of Science [L14710]
- Fundação para a Ciência e a Tecnologia [SFRH/BCC/105835/2014, CERN/FP/123609/2011] Funding Source: FCT
The necessary information to distinguish a local inhomogeneous mass density field from its spatial average on a compact domain of the universe can be measured by relative information entropy. The Kullback-Leibler (KL) formula arises very naturally in this context, however, it provides a very complicated way to compute the mutual information between spatially separated but causally connected regions of the universe in a realistic, inhomogeneous model. To circumvent this issue, by considering a parametric extension of the KL measure, we develop a simple model to describe the mutual information which is entangled via the gravitational field equations. We show that the Tsallis relative entropy can be a good approximation in the case of small inhomogeneities, and for measuring the independent relative information inside the domain, we propose the Renyi relative entropy formula. (C) 2016 The Authors. Published by Elsevier B.V.
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