ADM analysis and massive gravity

Abstract

This is a contribution to the Proceedings of the 7th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics, held in Belgrade 09 -- 19 September 2012. We give an easily accessible introduction to the ADM decomposition of the curvature components. After that we review the basic problems associated with attempts of constructing a viable massive gravity theory. And finally, we present the metric formulations of ghost-free massive gravity models, and comment on existence problem of the matrix square root.

6 pages; 7th Mathematical Physics Meeting: Summer School and Conference on Modern Mathematical Physics; minor changes

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• Generalised Boundary Terms for Higher Derivative Theories of Gravity
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• Translation invariant time-dependent solutions to massive gravity II
• Unusual square roots in the ghost-free theory of massive gravity