Reductions of Topologically Massive Gravity I: Hamiltonian Analysis of The Second Order Degenerate Lagrangians

Abstract

We study the Hamiltonian formalisms of the second order degenerate Clèment and Sarıoğlu-Tekin Lagrangians. The Dirac-Bergmann constraint algorithm is employed while arriving at the total Hamiltonian functions and the Hamilton's equations on the associated momemtum phase spaces whereas the Gotay-Nester-Hinds algorithm is run while investigating the Skinner-Rusk unified formalism on the proper Whitney bundles.

26 pages

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Cited by in corpus (3)

• A Hamilton-Jacobi formalism for higher order implicit systems
• Variational symmetries of Lagrangian systems with higher-order derivatives
• Reductions of Topologically Massive Gravity II: First Order Realizations of Second Order Lagrangians