Influence of quantum matter fluctuations on geodesic deviation
Mathematical Physics
2016-08-08 v3 math.MP
Abstract
We study the passive influence of quantum matter fluctuations on the expansion parameter of a congruence of timelike geodesics in a semiclassical regime. In particular, we show that, the perturbations of this parameter can be considered to be elements of the algebra of matter fields at all perturbative order. Hence, once a quantum state for matter is chosen, it is possible to explicitly evaluate the behavior of geometric fluctuations. After introducing the formalism necessary to treat similar problems, in the last part of the paper, we estimate the approximated probability of having a geodesic collapse in a flat spacetime due to those fluctuations.
Cite
@article{arxiv.1402.4265,
title = {Influence of quantum matter fluctuations on geodesic deviation},
author = {Nicolò Drago and Nicola Pinamonti},
journal= {arXiv preprint arXiv:1402.4265},
year = {2016}
}
Comments
21 pages, published version, J. Phys. A: Math. Theor. 47 (2014) 375202