Non-existence of self-similar solutions containing a black hole in a universe with a stiff fluid or scalar field or quintessence

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dc.creatorHarada, Tomohiro
dc.creatorMaeda, Hideki
dc.creatorCarr, B. J.
dc.date2006-04-11
dc.date2006-07-16
dc.date.accessioned2026-07-07T11:04:00Z
dc.date.available2026-07-07T11:04:00Z
dc.descriptionWe consider the possible existence of self-similar solutions containing black holes in a Friedmann background with a stiff fluid or a scalar field. We carefully study the relationship between the self-similar equations in these two cases and emphasize the crucial role of the similarity horizon. We show that there is no self-similar black hole solution surrounded by an exact or asymptotically flat Friedmann background containing a massless scalar field. This result also applies for a scalar field with a potential, providing the universe is decelerating. However, if there is a potential and the universe is accelerating (as in the quintessence scenario), the result only applies for an exact Friedmann background. This extends the result previously found in the stiff fluid case and strongly suggests that accretion onto primordial black holes is ineffective even during scalar field domination. It also contradicts recent claims that such black holes can grow appreciably by accreting quintessence. Appreciable growth might be possible with very special matter fields but this requires {\it ad hoc} and probably unphysical conditions.
dc.description17 pages, 6 figures, Accepted for Publication in Phys. Rev. D, Minor Correction
dc.identifierhttps://arxiv.org/abs/astro-ph/0604225
dc.identifierhttp://arxiv.org/abs/astro-ph/0604225
dc.identifierPhys.Rev.D74:024024,2006
dc.identifierdoi:10.1103/PhysRevD.74.024024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188742
dc.subjectAstrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleNon-existence of self-similar solutions containing a black hole in a universe with a stiff fluid or scalar field or quintessence
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