Towards the deformation quantization of linearized gravity
arXiv:gr-qc/0401088 · doi:10.1007/s10714-005-0193-x
Abstract
We present a first attempt to apply the approach of deformation quantization to linearized Einstein's equations. We use the analogy with Maxwell equations to derive the field equations of linearized gravity from a modified Maxwell Lagrangian which allows the construction of a Hamiltonian in the standard way. The deformation quantization procedure for free fields is applied to this Hamiltonian. As a result we obtain the complete set of quantum states and its discrete spectrum.
13 pages, no figures **preliminary entry ***