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δ N formalism on the past light-cone

G. Fanizza, G. Marozzi, M. Medeiros

Abstract
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 δN 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 ζ 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 ζ , written in terms of the light-cone parameters, to late time observables.

Keywords
Cosmological perturbation theory; Geodesic light-cone gauge

General Relativity and Gravitation
Volume 56, Number 53
2024 May

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Faculdade de Ciências da Universidade de Lisboa Universidade do Porto Faculdade de Ciências e Tecnologia da Universidade de Coimbra
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia