Canonizing curvature squared action in the presence of lapse function

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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9 pages, no figure

Scientific paper

Lapse function appears as Lagrange multiplier in Einstein-Hilbert action and its variation leads to the (0,0) equation of Einstein, which corresponds to the Hamiltonian constraint equation. In higher order theory of gravity the situation is not that simple. Here, we take up curvature squared action being supplemented by an appropriate boundary term in the background of Robertson-Walker minisuperspace metric, and show how to identify the constraint equation and formulate the Hamiltonian without detailed constraint analysis. The action is finally expressed in the canonical form, where, the lapse function appears as Lagrange multiplier. Canonical quantization yields Schrodinger like equation, with excellent features.

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