Black holes in the turbulence phase of viscous rip cosmology
Abstract
We study the phantom fluid in the late universe, thus assuming the equation of state parameter w to be less than  1. The fluid is assumed to consist of two components, one laminar component ρ and one turbulent component ρT, the latter set proportional to ρ as well as to the Hubble parameter, ρT = 3τHρ with τ a positive constant associated with the turbulence. The effective energy density is taken to be ρe = ρ + ρT, and the corresponding effective pressure is pe = wρe, with w constant. These basic assumptions lead to a Big Rip universe; the physical quantities diverging during a finite rip time ts. We then consider the mass accretion of a black hole in such a universe. The most natural assumption of setting the rate dM/dt proportional to M2 times the sum ρe + pe leads to a negative mass accretion, where M(t) goes to zero linearly in (ts  t) near the singularity. The Hubble parameter diverges as (ts  t)1, whereas ρe and pe diverge as (ts  t)2. We also discuss other options and include, for the sake of comparison, some essential properties of mass accretion in the early (inflationary) universe.
 Publication:

International Journal of Geometric Methods in Modern Physics
 Pub Date:
 2019
 DOI:
 10.1142/S0219887819500300
 arXiv:
 arXiv:1901.00002
 Bibcode:
 2019IJGMM..1650030B
 Keywords:

 Viscous universe;
 late universe;
 turbulent universe;
 General Relativity and Quantum Cosmology
 EPrint:
 7 pages latex 2e, no figures