$\delta N$ formalism on the past light-cone

Autor: Fanizza, Giuseppe, Marozzi, Giovanni, Medeiros, Matheus
Rok vydání: 2023
Předmět:
Zdroj: Gen. Rel. Grav. 56, 53 (2024)
Druh dokumentu: Working Paper
DOI: 10.1007/s10714-024-03239-3
Popis: We apply the gradient expansion approximation to the light-cone gauge, obtaining a separate universe picture at non-linear order in perturbation theory within this framework. Thereafter, we use it to generalize the $\delta N$ formalism in terms of light-cone perturbations. As a consistency check, we demonstrate the conservation of the gauge invariant curvature perturbation on uniform density hypersurface $\zeta$ at the completely non-linear level. The approach studied provides a self-consistent framework to connect at non-linear level quantities from the primordial universe, such as $\zeta$, written in terms of the light-cone parameters, to late time observables.
Comment: 33 pages, no figures. References and comments added. Accepted for publication in General Relativity and Gravitation
Databáze: arXiv