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

Abstract

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 non-traversable because of the absence of a past null infinity.

arXiv comment12 pages, 19 figures, 1 table, final version to appear in Physical Review D

References in corpus (20)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• BVRI Light Curves for 22 Type Ia Supernovae
• General Laws of Black-Hole Dynamics
• Gravitational Energy in Spherical Symmetry
• Black hole mass decreasing due to phantom energy accretion
• Dynamic wormholes, anti-trapped surfaces, and energy conditions
• Could supermassive black holes be quintessential primordial black holes?
• The Accretion of Dark Energy onto a Black Hole
• Dynamic wormholes
• The state space and physical interpretation of self-similar spherically symmetric perfect-fluid models
• Convergence to a self-similar solution in general relativistic gravitational collapse
• A complete classification of spherically symmetric perfect fluid similarity solutions
• Timelike self-similar spherically symmetric perfect-fluid models
• Spatially self-similar spherically symmetric perfect-fluid models
• Non-existence of self-similar solutions containing a black hole in a universe with a stiff fluid or scalar field or quintessence
• Self-similar cosmological solutions with dark energy. I: formulation and asymptotic analysis
• Super-horizon primordial black holes
• Uniqueness of Self-Similar Asymptotically Friedmann-Robertson-Walker Spacetime in Brans-Dicke theory
• General Relativistic Self-Similar Solutions in Cosmology

Cited by in corpus (33)

• New cosmological constraints on primordial black holes
• Constraints on Primordial Black Holes
• Primordial Black Holes as Dark Matter
• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• On wormhole formation in $f(\text{R},\text{T})$ gravity: varying Chaplygin gas and barotropic fluid
• Black holes in the presence of dark energy
• The Jebsen-Birkhoff theorem in alternative gravity
• $f(R)$ gravity solutions for evolving wormholes
• Black Holes in an Expanding Universe
• Cosmological wormholes
• Can a primordial black hole or wormhole grow as fast as the universe?
• Dynamic wormhole solutions in Einstein-Cartan gravity
• Time dependent black holes and scalar hair
• Self-similar cosmological solutions with dark energy. I: formulation and asymptotic analysis
• An analysis of the Sultana-Dyer cosmological black hole solution of the Einstein equations
• Dynamic wormholes with particle creation mechanism
• The separate universe problem: 40 years on
• New Traversable Wormholes Solutions in $f(T)$ Gravity
• Dynamical wormholes in Lovelock gravity
• Clifton's spherical solution in f(R) vacuo harbours a naked singularity
• On the trajectories of null and timelike geodesics in different wormhole geometries
• Density perturbations in the gas of wormholes
• Dynamical apparent horizons in inhomogeneous Brans-Dicke universes
• Evolving traversable wormholes satisfying the energy conditions in the presence of pole dark energy
• Black hole in a generalized Chaplygin-Jacobi dark fluid: shadow and light deflection angle
• Catastrophic fate of Schwarzschild black holes in a thermal bath
• Classification of the Lie and Noether symmetries for the Klein-Gordon equation in Anisotropic Cosmology
• High-Speed Collapse of a Hollow Sphere of Type I Matter
• Asymptotically Friedmann self-similar scalar field solutions with potential
• Horizons and singularity in Clifton's spherical solution of f(R) vacuum
• Self-similar motion of a Nambu-Goto string
• Evolving black hole horizons in General Relativity and alternative gravity
• Embedding black holes and other inhomogeneities in the universe in various theories of gravity: a short review