Covariant Decomposition, Singularities, and Canonical Cosmology
In this chapter we will perform a 3+1 decomposition of the spacetime. This decomposition is very useful for various applications, in particular, we will use the 3+1 decomposition to derive a Lagrangian and Hamiltonian formalismof general relativity. We will also see howthe singularity theoremcan be described in this framework.
KeywordsHamiltonian Formulation Bianchi Type Extrinsic Curvature Strong Energy Condition Spatial Section
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