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Bunch-Davies initial conditions and nonperturbative inflationary dynamics in numerical relativity

Lookup NU author(s): Dr Gerasimos RigopoulosORCiD

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This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


Abstract

We show that it is possible to simulate realistic inhomogeneities during cosmological inflation with high precision using numerical relativity. Stochastic initial conditions are set in line with the Bunch-Davies vacuum and satisfy the Hamiltonian and Momentum constraints of general relativity to leading order in perturbation theory. The subsequent fully nonlinear dynamical evolution is formulated within a family of geodesic gauges but can, in principle, be adapted to any choice of coordinates. We present three examples of inflationary dynamics: a simple quadratic potential, a potential with an inflection point, and a strong resonance model. When perturbations are small, we recover standard predictions of cosmological perturbation theory, and we quantify strongly nonlinear inhomogeneities when nonperturbative configurations emerge, such as in the strong resonance model. Our results pave the way toward the first realistic nonperturbative and fully nonlinear numerical relativity simulations of the early inflationary universe.


Publication metadata

Author(s): Launay YL, Rigopoulos GI, Shellard EPS

Publication type: Article

Publication status: Published

Journal: Physical Review D

Year: 2025

Volume: 112

Issue: 4

Online publication date: 15/08/2025

Acceptance date: 23/07/2025

Date deposited: 29/08/2025

ISSN (print): 2470-0010

ISSN (electronic): 2470-0029

Publisher: American Physical Society

URL: https://doi.org/10.1103/qg66-gxh2

DOI: 10.1103/qg66-gxh2

Data Access Statement: The data that support the findings of this article are not publicly available. The data are available from the authors upon reasonable request.


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Funding

Funder referenceFunder name
STFC Consolidated Grant No. ST/ P000673/1

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