A Hamiltonian functional for the linearized Einstein vacuum field equations
广义相对论与量子宇宙学
2014-11-17 v1
摘要
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.
引用
@article{arxiv.gr-qc/0507108,
title = {A Hamiltonian functional for the linearized Einstein vacuum field equations},
author = {R. Rosas-Rodriguez},
journal= {arXiv preprint arXiv:gr-qc/0507108},
year = {2014}
}
备注
5 pages, accepted in J. Phys.: Conf. Series