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Reconstructing homospectral inflationary potentials
Purely geometrical arguments show that there exist classes of homospectral inflationary cosmologies, i.e., different expansion histories producing the same spectrum of comoving curvature perturbations. We develop a general algorithm to reconstruct the potential of minimally coupled single scalar fie...
Autores principales: | , , |
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Lenguaje: | eng |
Publicado: |
2022
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Materias: | |
Acceso en línea: | http://cds.cern.ch/record/2810836 |
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author | Gallego Cadavid, Alexander Romano, Antonio Enea Liddle, Andrew R. |
author_facet | Gallego Cadavid, Alexander Romano, Antonio Enea Liddle, Andrew R. |
author_sort | Gallego Cadavid, Alexander |
collection | CERN |
description | Purely geometrical arguments show that there exist classes of homospectral inflationary cosmologies, i.e., different expansion histories producing the same spectrum of comoving curvature perturbations. We develop a general algorithm to reconstruct the potential of minimally coupled single scalar fields from an arbitrary expansion history. We apply it to homospectral expansion histories to obtain the corresponding potentials, providing numerical and analytical examples. The infinite class of homospectral potentials depends on two free parameters, the initial energy scale and the initial value of the field, showing that, in general, it is impossible to reconstruct a unique potential from the curvature spectrum unless the initial energy scale and the field value are fixed, for instance, through observation of primordial gravitational waves. |
id | cern-2810836 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2022 |
record_format | invenio |
spelling | cern-28108362022-11-02T20:53:15Zhttp://cds.cern.ch/record/2810836engGallego Cadavid, AlexanderRomano, Antonio EneaLiddle, Andrew R.Reconstructing homospectral inflationary potentialsgr-qcastro-ph.COPurely geometrical arguments show that there exist classes of homospectral inflationary cosmologies, i.e., different expansion histories producing the same spectrum of comoving curvature perturbations. We develop a general algorithm to reconstruct the potential of minimally coupled single scalar fields from an arbitrary expansion history. We apply it to homospectral expansion histories to obtain the corresponding potentials, providing numerical and analytical examples. The infinite class of homospectral potentials depends on two free parameters, the initial energy scale and the initial value of the field, showing that, in general, it is impossible to reconstruct a unique potential from the curvature spectrum unless the initial energy scale and the field value are fixed, for instance, through observation of primordial gravitational waves.Purely geometrical arguments show that there exist classes of homospectral inflationary cosmologies, i.e. different expansion histories producing the same spectrum of comoving curvature perturbations. We develop a general algorithm to reconstruct the potential of minimally-coupled single scalar fields from an arbitrary expansion history. We apply it to homospectral expansion histories to obtain the corresponding potentials, providing numerical and analytical examples. The infinite class of homospectral potentials depends on two free parameters, the initial energy scale and the initial value of the field, showing that in general it is impossible to reconstruct a unique potential from the curvature spectrum unless the initial energy scale and the field value are fixed, for instance through observation of primordial gravitational waves.oai:cds.cern.ch:28108362022-05-13 |
spellingShingle | gr-qc astro-ph.CO Gallego Cadavid, Alexander Romano, Antonio Enea Liddle, Andrew R. Reconstructing homospectral inflationary potentials |
title | Reconstructing homospectral inflationary potentials |
title_full | Reconstructing homospectral inflationary potentials |
title_fullStr | Reconstructing homospectral inflationary potentials |
title_full_unstemmed | Reconstructing homospectral inflationary potentials |
title_short | Reconstructing homospectral inflationary potentials |
title_sort | reconstructing homospectral inflationary potentials |
topic | gr-qc astro-ph.CO |
url | http://cds.cern.ch/record/2810836 |
work_keys_str_mv | AT gallegocadavidalexander reconstructinghomospectralinflationarypotentials AT romanoantonioenea reconstructinghomospectralinflationarypotentials AT liddleandrewr reconstructinghomospectralinflationarypotentials |