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A Hamiltonian functional for the linearized Einstein vacuum field equations

R. Rosas-Rodriguez
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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.

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R. Rosas-Rodriguez. 2005-07-26. A Hamiltonian functional for the linearized Einstein vacuum field equations. https://doi.org/10.1088/1742-6596%2F24%2F1%2F027

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