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General Relativity and Quantum Cosmology
Title: $δN$ formalism on the past light-cone
(Submitted on 14 Nov 2023 (v1), last revised 22 Apr 2024 (this version, v2))
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 $\delta N$ 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.
Submission history
From: Giuseppe Fanizza [view email][v1] Tue, 14 Nov 2023 10:51:51 GMT (29kb,D)
[v2] Mon, 22 Apr 2024 16:02:36 GMT (55kb,D)
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