Upper limits on the size of a primordial black hole

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dc.creatorHarada, Tomohiro
dc.creatorCarr, B. J.
dc.date2004-12-06
dc.date2005-05-11
dc.date.accessioned2026-07-07T11:03:48Z
dc.date.available2026-07-07T11:03:48Z
dc.descriptionWe provide precise constraints on the size of any black holes forming in the early Universe for a variety of formation scenarios. In particular, we prove that the size of the apparent horizon of a primordial black hole formed by causal processes in a flat Friedmann universe is considerably smaller than the cosmological apparent horizon size for an equation of state $p=kρ$ ($1/3<k<1$). This also applies for a stiff equation of state ($k=1$) or for a massless scalar field. The apparent horizon of a primordial black hole formed through hydrodynamical processes is also considerably smaller than the cosmological apparent horizon for $0<k\le 1$. We derive an expression for the maximum size which an overdense region can have without being a separate closed universe rather than part of our own. Newtonian argument shows that a black hole smaller than the cosmological horizon can never accrete much.
dc.description15 pages, accepted for publication in Physical Review D
dc.identifierhttps://arxiv.org/abs/astro-ph/0412134
dc.identifierhttp://arxiv.org/abs/astro-ph/0412134
dc.identifierPhys.Rev.D71:104009,2005
dc.identifierdoi:10.1103/PhysRevD.71.104009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188670
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleUpper limits on the size of a primordial black hole
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