Low-redshift formula for the luminosity distance in a LTB model with cosmological constant

ABSTRACT: We calculate the low-redshift Taylor expansion for the luminosity distance for an observer at the center of a spherically symmetric matter inhomogeneity with a nonvanishing cosmological constant. We then test the accuracy of the formulas comparing them to the numerical calculation for different cases for both the luminosity distance and the radial coordinate. The formulas can be used as a starting point to understand the general non-linear effects of a local inhomogeneity in the presence of a cosmological constant, without making any special assumption as regards the inhomogeneity profile.

• Autores: Romano, Antonio Enea; Chen, Pisin
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2014
• Institución: Universidad de Antioquia
• Repositorio: Repositorio UdeA
• Idioma: eng
• OAI Identifier: oai:bibliotecadigital.udea.edu.co:10495/41771
• Acceso en línea: https://hdl.handle.net/10495/41771
• Palabra clave: Función elíptica; Elliptic Functions; Constantes cosmológicas; Cosmological constants; Distancia de luminosidad; Luminosity distance; Astronomía geodesica; Geodetic astronomy; http://id.loc.gov/authorities/subjects/sh85052336; http://id.loc.gov/authorities/subjects/sh2006000063; http://id.loc.gov/authorities/subjects/sh2003003637
• Rights: openAccess
• License: http://creativecommons.org/licenses/by/2.5/co/