Spherically symmetric nonlinear structures

ALEJANDRA KANDUS; ESTEBAN CALZETTA

PHYSICAL REVIEW D - PARTICLE AND FILDS

APS

Año: 1997

0556-2821

We present an analytical method to extract observational predictions about the nonlinear evolution ofperturbations in a Tolman universe. We assume no a priori profile for them. We solve perturbatively aHamilton-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 findexpressions to evaluate the density contrast and the number count and luminosity distance versus redshiftrelationships up to second order in the perturbations. In the second situation we calculate the CMBR anisotropiesat 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 forany shape of the primordial spectrum.