formalism on the past light-cone
arXiv:2311.08073 · doi:10.1007/s10714-024-03239-3
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 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 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 , written in terms of the light-cone parameters, to late time observables.
arXiv comment33 pages, no figures. References and comments added. Accepted for publication in General Relativity and Gravitation
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