Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians

Authors :: Hasan Gümral
Filiz Çağatay-Uçgun
Oğul Esen
Çagatay Uçgun, F.
Esen, O.
Gümral, H.
Yeditepe Üniversitesi
Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü
Işık University, Faculty of Arts and Sciences, Department of Mathematics
Uçgun, Filiz Çağatay
Publication Year :: 2018
Publisher :: American Institute of Physics Inc., 2018.
Abstract: We study the Hamiltonian formalisms of the second order degenerate Cl\`ement and Sar{\i}o\u{g}lu-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.<br />Comment: 26 pages

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