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...
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todo:paper_15507998_v55_n4_p1795_Calzetta2023-10-03T16:23:32Z Spherically symmetric nonlinear structures Calzetta, E.A. Kandus, A. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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. |
| format |
JOUR |
| author |
Calzetta, E.A. Kandus, A. |
| spellingShingle |
Calzetta, E.A. Kandus, A. Spherically symmetric nonlinear structures |
| author_facet |
Calzetta, E.A. Kandus, A. |
| author_sort |
Calzetta, E.A. |
| title |
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 |
| url |
http://hdl.handle.net/20.500.12110/paper_15507998_v55_n4_p1795_Calzetta |
| work_keys_str_mv |
AT calzettaea sphericallysymmetricnonlinearstructures AT kandusa sphericallysymmetricnonlinearstructures |
| _version_ |
1807324430660009984 |