Computations of primordial black hole formation

Details Computations of primordial black hole formation Computations of primordial black hole formation

2004-12-13

arxiv.org/abs/gr-qc/0412063v2

Class.Quant.Grav. 22 (2005) 1405-1424

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, 5 figures, accepted by Class. Quantum Grav

Scientific paper

10.1088/0264-9381/22/7/013

Results are presented from general relativistic numerical computations of primordial black-hole formation during the radiation-dominated era of the universe. Growing-mode perturbations are specified within the linear regime and their subsequent evolution is followed as they become nonlinear. We use a spherically symmetric Lagrangian code and study both super-critical perturbations, which go on to produce black holes, and sub-critical perturbations, for which the overdensity eventually disperses into the background medium. For super-critical perturbations, we confirm the results of previous work concerning scaling-laws but note that the threshold amplitude for a perturbation to lead to black-hole formation is substantially reduced when the initial conditions are taken to represent purely growing modes. For sub-critical cases, where an initial collapse is followed by a subsequent re-expansion, strong compressions and rarefactions are seen for perturbation amplitudes near to the threshold. We have also investigated the effect of including a significant component of vacuum energy and have calculated the resulting changes in the threshold and in the slope of the scaling law.

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