Towards the deformation quantization of linearized gravity

Details Towards the deformation quantization of linearized gravity Towards the deformation quantization of linearized gravity

2004-01-21

arxiv.org/abs/gr-qc/0401088v1

Gen.Rel.Grav. 37 (2005) 2083-2092

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures **preliminary entry ***

Scientific paper

10.1007/s10714-005-0193-x

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.

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