PreprintCC BY 4.0arXiv
Homogeneous and Isotropic Linearized Gravity as a Caldeira--Leggett System
Abstract
We show that the homogeneous and isotropic sector of linearized gravity coupled to arbitrary additional degrees of freedom takes the Caldeira-Leggett form, provided their action contains no metric time derivatives at second order in perturbations. These additional degrees of freedom constitute the model's harmonic reservoir. Eliminating them yields a generalized Langevin equation for the metric perturbation, with their influence condensed in the reservoir's spectral density. This equivalence also yields a natural setting for reduced quantization of the perturbation and stochastic gravitational dynamics. We analyze the resulting dynamics with Laplace methods, extending results presented in other open-system settings.
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BibTeX
@misc{calzada2026homogeneous,
title = {{Homogeneous and Isotropic Linearized Gravity as a Caldeira--Leggett System}},
author = {Pelayo V. Calzada and Pedro Bargueño},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.28209},
eprint = {2607.28209},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.28209},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Homogeneous and Isotropic Linearized Gravity as a Caldeira--Leggett System
AU - Pelayo V. Calzada
AU - Pedro Bargueño
PY - 2026
DA - 2026/09/16
PB - arXiv
DO - 10.48550/arxiv.2607.28209
UR - https://arxiv.org/abs/2607.28209
AB - We show that the homogeneous and isotropic sector of linearized gravity coupled to arbitrary additional degrees of freedom takes the Caldeira-Leggett form, provided their action contains no metric time derivatives at second order in perturbations. These additional degrees of freedom constitute the model's harmonic reservoir. Eliminating them yields a generalized Langevin equation for the metric perturbation, with their influence condensed in the reservoir's spectral density. This equivalence also yields a natural setting for reduced quantization of the perturbation and stochastic gravitational dynamics. We analyze the resulting dynamics with Laplace methods, extending results presented in other open-system settings.
ER -