Reconstructing the metric of the local Universe from number counts observations

ABSTRACT: Number counts observations available with new surveys such as the Euclid mission will be an important source of information about the metric of the Universe. We compute the low red-shift expansion for the energy density and the density contrast using an exact spherically symmetric solution...

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Autores:
Vallejo Peña, Sergio Andrés
Romano, Antonio Enea
Tipo de recurso:
Article of investigation
Fecha de publicación:
2017
Institución:
Universidad de Antioquia
Repositorio:
Repositorio UdeA
Idioma:
eng
OAI Identifier:
oai:bibliotecadigital.udea.edu.co:10495/39503
Acceso en línea:
https://hdl.handle.net/10495/39503
Palabra clave:
Perturbación (astronomía)
Perturbation (astronomy)
Expansión métrica del espacio
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-sa/2.5/co/
Description
Summary:ABSTRACT: Number counts observations available with new surveys such as the Euclid mission will be an important source of information about the metric of the Universe. We compute the low red-shift expansion for the energy density and the density contrast using an exact spherically symmetric solution in presence of a cosmological constant. At low red-shift the expansion is more precise than linear perturbation theory prediction. We then use the local expansion to reconstruct the metric from the monopole of the density contrast. We test the inversion method using numerical calculations and find a good agreement within the regime of validity of the red-shift expansion. The method could be applied to observational data to reconstruct the metric of the local Universe with a level of precision higher than the one achievable using perturbation theory.