Accretion of Some Classes of Holographic DE onto Higher-Dimensional Schwarzschild Black Holes

Abstract

We study the accretion of dark matter and DE onto $(n+2)$-dimensional Schwarzschild black holes. Since, due to the accretion process, the mass of the black hole is dynamical, so the mass and its changing rate for $(n+2)$-dimensional Schwarzschild black holes have been found. We assume a general form of holographic DE where the dimensionless model parameter $c$ is assumed to be variable, i.e., $c$ is a function of redshift $z$. We also assume seven types of parametrizations of $c(z)$, and they are: model I (linear type), model II (CPL type), model III (JBP type), model IV (Wetterich type), model V (Efstathiou type), model VI (Ma-Jhang type), and model VII (ASSS type). The black hole mass is calculated in terms of redshift when dark matter and a general form of holographic DE accrete onto the black hole. We show that the black hole mass increases for all types of holographic dark energy candidates. The mass increasing rate sensitively depends on the space-time dimension.