Self-similar cosmological solutions with dark energy. II: black holes, naked singularities and wormholes

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dc.creatorMaeda, Hideki
dc.creatorHarada, Tomohiro
dc.creatorCarr, B. J.
dc.date2007-07-04
dc.date2008-01-02
dc.date.accessioned2026-07-07T11:17:29Z
dc.date.available2026-07-07T11:17:29Z
dc.descriptionWe use a combination of numerical and analytical methods, exploiting the equations derived in a preceding paper, to classify all spherically symmetric self-similar solutions which are asymptotically Friedmann at large distances and contain a perfect fluid with equation of state $p=(γ-1)μ$ with $0<γ<2/3$. The expansion of the Friedmann universe is accelerated in this case. We find a one-parameter family of self-similar solutions representing a black hole embedded in a Friedmann background. This suggests that, in contrast to the positive pressure case, black holes in a universe with dark energy can grow as fast as the Hubble horizon if they are not too large. There are also self-similar solutions which contain a central naked singularity with negative mass and solutions which represent a Friedmann universe connected to either another Friedmann universe or some other cosmological model. The latter are interpreted as self-similar cosmological white hole or wormhole solutions. The throats of these wormholes are defined as two-dimensional spheres with minimal area on a spacelike hypersurface and they are all non-traversable because of the absence of a past null infinity.
dc.description12 pages, 19 figures, 1 table, final version to appear in Physical Review D
dc.identifierhttps://arxiv.org/abs/0707.0530
dc.identifierhttp://arxiv.org/abs/0707.0530
dc.identifierPhys.Rev.D77:024023,2008
dc.identifierdoi:10.1103/PhysRevD.77.024023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193025
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleSelf-similar cosmological solutions with dark energy. II: black holes, naked singularities and wormholes
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