Quantization of linearized gravity in cosmological vacuum spacetimes
Mathematical Physics
2013-09-13 v4 General Relativity and Quantum Cosmology
math.MP
Abstract
Linearized Einstein gravity (with possibly nonzero cosmological constant) is quantized in the framework of algebraic quantum field theory by analogy with Dimock's treatment of electromagnetism [Rev. Math. Phys. 4 (1992) 223--233]. To achieve this, the classical theory is developed in a full, rigorous and systematic fashion, with particular attention given to the circumstances under which the symplectic product is weakly non-degenerate and to the related question of whether the space of solutions is separated by the classical observables on which the quantum theory is modelled.
Cite
@article{arxiv.1203.0261,
title = {Quantization of linearized gravity in cosmological vacuum spacetimes},
author = {Christopher J. Fewster and David S. Hunt},
journal= {arXiv preprint arXiv:1203.0261},
year = {2013}
}
Comments
41pp, v2&3 typos and errors corrected; references added. v4 Final version to appear in Reviews in Mathematical Physics