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

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...

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Bibliographic Details
Published in:arXiv.org 2017-01
Main Authors: Çağatay-Uçgun, Filiz, Esen, Oğul, Gümral, Hasan
Format: Article
Language:English
Subjects:
Algorithms
Formalism
Hamiltonian functions
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1701.08494