Quantum fields on self-similar spacetimes
General Relativity and Quantum Cosmology
2026-01-30 v3
Abstract
We study scalar (not necessarily conformal) quantum fields on self-similar spacetimes. It is shown that in states respecting the self-similarity the expectation value of the stress tensor gives rise to a Lyapunov exponent , with a leading coefficient which is state-independent and geometric. Three examples for states respecting self-similarity are presented.
Cite
@article{arxiv.2509.10360,
title = {Quantum fields on self-similar spacetimes},
author = {Jochen Zahn},
journal= {arXiv preprint arXiv:2509.10360},
year = {2026}
}
Comments
v2: Considerably expanded; v3: Final version, typo in eqn. (46) corrected