Mathematics – Logic
Scientific paper
Sep 2008
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008mgm..conf.1834m&link_type=abstract
"THE ELEVENTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation an
Mathematics
Logic
Scientific paper
We study Primordial Black Hole (PBH) formation in the early universe. Working within spherical symmetry, we specify an initial configuration in terms of a curvature profile, which represents initial conditions for the large amplitude metric perturbations away from the homogeneous Friedmann Robertson Walker model, which are required for PBH formation. Using an asymptotic quasi-homogeneous solution, we relate the curvature profile with the density and velocity perturbations, which at an early enough time, when the length scale of the configuration is much larger than the cosmological horizon, can be treated as small perturbations of the background values. This solution enable us to consider in a self-consistent way the formation of PBHs in a wide variety of cosmological situations. We use two parametric description of the curvature profiles and follow numerically the evolution of the initial configurations.
Musco Ilia
Polnarev Alexander G.
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