1. Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians
- Author
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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, and Uçgun, Filiz Çağatay
- Subjects
Mathematics - Differential Geometry ,70H45, 70H50, 70H05, 83E05 ,FOS: Physical sciences ,01 natural sciences ,symbols.namesake ,Constraint algorithm ,Higher Derivatives ,0103 physical sciences ,FOS: Mathematics ,0101 mathematics ,Mathematics::Symplectic Geometry ,Mathematical Physics ,Mathematical physics ,Physics ,010308 nuclear & particles physics ,Gauge-Theories ,010102 general mathematics ,Degenerate energy levels ,Systems ,Classical Mechanics ,Statistical and Nonlinear Physics ,Mathematical Physics (math-ph) ,Formalism (philosophy of mathematics) ,Singular Lagrangians ,Massive gravity ,Differential Geometry (math.DG) ,Formulation ,Constraints ,symbols ,Formalism ,Mathematics::Mathematical Physics ,Pais-Uhlenbeck Oscillator ,Hamiltonian (quantum mechanics) ,Dirac-Bergmann Theory - 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., Comment: 26 pages
- Published
- 2018