$δN$ formalism on the past light-cone
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914785125203968 |
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| author | Fanizza, Giuseppe Marozzi, Giovanni Medeiros, Matheus |
| author_facet | Fanizza, Giuseppe Marozzi, Giovanni Medeiros, Matheus |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_08073 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $δN$ formalism on the past light-cone Fanizza, Giuseppe Marozzi, Giovanni Medeiros, Matheus General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory 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. |
| title | $δN$ formalism on the past light-cone |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2311.08073 |