Reductions of topologically massive gravity. II: First order realizations of second order Lagrangians. (English) Zbl 1455.83019
Summary: Second order degenerate Clément and Sarıoğlu-Tekin Lagrangians are casted into forms of various first order Lagrangians. The structures of the iterated tangent bundle and acceleration bundle are presented as a suitable geometric framework. Hamiltonian analyses of these equivalent formalisms are performed by means of the Dirac-Bergmann constraint algorithm. All formulations are shown to possess only second class constraints.
For Part I, see [the authors, ibid. 59, No. 1, 013510, 16 p. (2018; Zbl 1383.83108)].
©2020 American Institute of Physics
For Part I, see [the authors, ibid. 59, No. 1, 013510, 16 p. (2018; Zbl 1383.83108)].
©2020 American Institute of Physics
MSC:
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 70S05 | Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems |
| 70H40 | Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
Citations:
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