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

Journal Article · Tue Jan 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.77.024023· OSTI ID:21035846

Maeda, Hideki ^[1]; Harada, Tomohiro ^[2]; Carr, B J ^[3]

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1. Centro de Estudios Cientificos (CECS), Arturo Prat 514, Valdivia (Chile)
2. Department of Physics, Rikkyo University, Tokyo 171-8501 (Japan)
3. Astronomy Unit, Queen Mary, University of London, Mile End Road, London E1 4NS (United Kingdom)

We 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=({gamma}-1){mu} with 0<{gamma}<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 nontraversable because of the absence of a past null infinity.

• OSTI ID: 21035846
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 2 Vol. 77; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COSMOLOGICAL MODELS
COSMOLOGY
EQUATIONS OF STATE
IDEAL FLOW
MATHEMATICAL SOLUTIONS
NEGATIVE MASS
NONLUMINOUS MATTER
SINGULARITY
TWO-DIMENSIONAL CALCULATIONS
UNIVERSE
WHITE HOLES