New method for constructing valid Hamiltonians for class-B spacetimes and the quantization of the general type-V cosmology

Physics

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Lower Dimensional Models, Minisuperspace Models, Canonical Formalism, Lagrangians, And Variational Principles

Scientific paper

In this work we propose a new method for constructing valid Hamiltonians for homogeneous spacetimes. Through a careful examination of the role played by spatial diffeomorphisms, we identify the ``correct'' momentum constraints in phase space; we also search for a supermetric Θαβγδ, which is the analogue of the Wheeler-DeWitt supermetric Gijkl in the case of the finite system under consideration. This way, a valid Hamiltonian (which, of course, need not be the only possible one) is constructed for the general type-V spacetime and the resulting system is quantized.

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