Journal
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
Volume -, Issue 9, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1475-7516/2012/09/027
Keywords
primordial black holes; gravity; GR black holes; physics of the early universe
Funding
- JSPS [23340058, 21111006]
- Global COE, MEXT, Japan
- STFC [PP/C50209X/1, ST/J001546/1] Funding Source: UKRI
- Grants-in-Aid for Scientific Research [21111006, 23340058] Funding Source: KAKEN
- Science and Technology Facilities Council [ST/J001546/1, PP/C50209X/1] Funding Source: researchfish
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For an arbitrarily strong, spherically symmetric super-horizon curvature perturbation, we present analytic solutions of the Einstein equations in terms of the asymptotic expansion over the ratio of the Hubble radius to the length-scale of the curvature perturbation to set initial conditions for numerical computations of primordial black hole formation. To obtain this solution we develop a recursive method of quasi-linearization which reduces the problem to a system of coupled ordinary differential equations for the Nth order terms in the asymptotic expansion with sources consisting of a non-linear combination of the lower order terms.
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