Black holes in the expanding Universe

Abstract

The McVittie metric does not describe a physical black hole in an expanding Universe because the curvature scalar and pressure at its event horizon are infinite. We show that extending this metric to an inhomogeneous scale factor, which depends on both the time and radial coordinate, removes those infinities by imposing at the horizon the constancy of the Hubble parameter and a particular constraint on the gradient of the scale factor. We consider a special case of this metric, and show that the Hubble parameters at the event horizons of all centrally symmetric black holes are equal to the same constant $H_{\text{hor}}=(\Lambda /3{)}^{1/2}$. Because of this equality and the equivalence to the Kottler metric near the horizon, black holes do not grow with the Universe expansion.

arXiv comment7 pages; published version

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
• Closest Star Seen Orbiting the Supermassive Black Hole at the Centre of the Milky Way
• The First Measurement of Spectral Lines in a Short-Period Star Bound to the Galaxy's Central Black Hole: A Paradox of Youth
• Cosmology with torsion: An alternative to cosmic inflation
• Nonsingular, big-bounce cosmology from spinor-torsion coupling
• McVittie's Legacy: Black Holes in an Expanding Universe
• A point mass in an isotropic universe. Existence, uniqueness and basic properties
• More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically $\Lambda$CDM cosmology
• Universe in a black hole in Einstein$-$Cartan gravity
• The effect of a massive object on an expanding universe
• A point mass in an isotropic universe: III. The region $R\le 2m$
• Big bounce from spin and torsion
• Nonsingular Dirac particles in spacetime with torsion
• Making sense of the bizarre behaviour of horizons in the McVittie spacetime
• Big bounce and closed universe from spin and torsion
• Classical Physics: Spacetime and Fields
• Analysis of big bounce in Einstein--Cartan cosmology
• Black holes, white holes, and near-horizon physics
• General-relativistic wave$-$particle duality with torsion

Cited by in corpus (1)

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