A Hamiltonian functional for the linearized Einstein vacuum field equations

Details A Hamiltonian functional for the linearized Einstein vacuum field equations A Hamiltonian functional for the linearized Einstein vacuum field equations

2005-07-26

arxiv.org/abs/gr-qc/0507108v1

J.Phys.Conf.Ser. 24 (2005) 231-235

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, accepted in J. Phys.: Conf. Series

Scientific paper

10.1088/1742-6596/24/1/027

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.

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