Analysis of the Hamiltonian formulations of linearized general relativity
The different forms of the Hamiltonian formulations of linearized General Relativity/spin-2 theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant modifications to the initial covariant Lagrangian (similar to those modif...
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| Veröffentlicht in: | The European physical journal. C, Particles and fields Particles and fields, 2011-06, Vol.71 (6), p.1-9, Article 1678 |
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| container_title | The European physical journal. C, Particles and fields |
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| creator | Green, K. R. Kiriushcheva, N. Kuzmin, S. V. |
| description | The different forms of the Hamiltonian formulations of linearized General Relativity/spin-2 theories are discussed in order to show their similarities and differences. It is demonstrated that in the linear model, non-covariant modifications to the initial covariant Lagrangian (similar to those modifications used in full gravity) are in fact unnecessary. The Hamiltonians and the constraints are different in these two formulations but the structure of the constraint algebra and the gauge invariance derived from it are the same. It is shown that these equivalent Hamiltonian formulations are related to each other by a canonical transformation, which is explicitly given. The relevance of these results to the full theory of General Relativity is briefly discussed. |
| doi_str_mv | 10.1140/epjc/s10052-011-1678-2 |
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| subjects | Algebra Analogies Astronomy Astrophysics and Cosmology Elementary Particles Equivalence Exact sciences and technology Formulations Gauge invariance Gravitation Hadrons Heavy Ions Linearization Mathematical models Measurement Science and Instrumentation Nuclear Energy Nuclear Physics Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Regular Article - Theoretical Physics Relativity String Theory The physics of elementary particles and fields Theory of relativity Transformations |
| title | Analysis of the Hamiltonian formulations of linearized general relativity |
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