Spherically symmetric nonlinear structures

We present an analytical method to extract observational predictions about the nonlinear evolution of perturbations in a Tolman universe. We assume no a priori profile for them. We solve perturbatively a Hamilton-Jacobi equation for a timelike geodesic and obtain the null one as a limiting case in t...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 1997
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v55_n4_p1795_Calzetta
http://hdl.handle.net/20.500.12110/paper_15507998_v55_n4_p1795_Calzetta
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v55_n4_p1795_Calzetta
record_format dspace
spelling paper:paper_15507998_v55_n4_p1795_Calzetta2023-06-08T16:21:37Z Spherically symmetric nonlinear structures We present an analytical method to extract observational predictions about the nonlinear evolution of perturbations in a Tolman universe. We assume no a priori profile for them. We solve perturbatively a Hamilton-Jacobi equation for a timelike geodesic and obtain the null one as a limiting case in two situations: for an observer located in the center of symmetry and for a noncentered one. In the first case we find expressions to evaluate the density contrast and the number count and luminosity distance versus redshift relationships up to second order in the perturbations. In the second situation we calculate the CMBR anisotropies at large angular scales produced by the density contrast and by the asymmetry of the observer’s location, up to first order in the perturbations. We develop our argument in such a way that the formulas are valid for any shape of the primordial spectrum. © 1997 The American Physical Society. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v55_n4_p1795_Calzetta http://hdl.handle.net/20.500.12110/paper_15507998_v55_n4_p1795_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We present an analytical method to extract observational predictions about the nonlinear evolution of perturbations in a Tolman universe. We assume no a priori profile for them. We solve perturbatively a Hamilton-Jacobi equation for a timelike geodesic and obtain the null one as a limiting case in two situations: for an observer located in the center of symmetry and for a noncentered one. In the first case we find expressions to evaluate the density contrast and the number count and luminosity distance versus redshift relationships up to second order in the perturbations. In the second situation we calculate the CMBR anisotropies at large angular scales produced by the density contrast and by the asymmetry of the observer’s location, up to first order in the perturbations. We develop our argument in such a way that the formulas are valid for any shape of the primordial spectrum. © 1997 The American Physical Society.
title Spherically symmetric nonlinear structures
spellingShingle Spherically symmetric nonlinear structures
title_short Spherically symmetric nonlinear structures
title_full Spherically symmetric nonlinear structures
title_fullStr Spherically symmetric nonlinear structures
title_full_unstemmed Spherically symmetric nonlinear structures
title_sort spherically symmetric nonlinear structures
publishDate 1997
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v55_n4_p1795_Calzetta
http://hdl.handle.net/20.500.12110/paper_15507998_v55_n4_p1795_Calzetta
_version_ 1768545896705818624

Ejemplares similares