A Hamiltonian functional for the linearized Einstein vacuum field equations
Abstract
By considering the Einstein vacuum field equations linearized about the Minkowski metric, the evolution equations for the gauge-invariant quantities characterizing the gravitational field are written in a Hamiltonian form by using a conserved functional as Hamiltonian; this Hamiltonian is not the analog of the energy of the field. A Poisson bracket between functionals of the field, compatible with the constraints satisfied by the field variables, is obtained. The generator of spatial translations associated with such bracket is also obtained.
- Publication:
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Journal of Physics Conference Series
- Pub Date:
- January 2005
- DOI:
- arXiv:
- arXiv:gr-qc/0507108
- Bibcode:
- 2005JPhCS..24..231R
- Keywords:
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- General Relativity and Quantum Cosmology
- E-Print:
- 5 pages, accepted in J. Phys.: Conf. Series