http://arxiv.org/abs/1310.6329
This is one chapter of the collection of problems in cosmology, in which we assemble the problems that concern one of the most distinctive features of general relativity and cosmology—the horizons.
The first part gives an elementary introduction into the concept in the cosmological context, then we move to more formal exposition of the subject and consider first simple, and then composite models, such as $\Lambda$CDM. The fourth section elevates the rigor one more step and explores the causal structure of different simple cosmological models in terms of conformal diagrams. The section on black holes relates the general scheme of constructing conformal diagrams for stationary black hole spacetimes. The consequent parts focus on more specific topics, such as the various problems regarding the Hubble sphere, inflation and holography.
This version contains only formulations of 97 problems. The full collection, with solutions included, is available in the form of a wiki-based resource at this http URL The cosmological community is welcome to contribute to its development.
Date added: Thu, 24 Oct 13
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