  In this paper, we investigate the existence and time evolution of the
cosmological and event horizons in a McVittie universe whose expansion is
driven by the Redlich-Kwong, (Modified) Berthelot, Dieterici, and Peng-Robinson
fluids, respectively. The equations of state of these fluids are rich enough to
account for both exotic and regular, as well as ideal and non-ideal matter
contents of the universe. We show that the cosmological horizon is expanding,
while the event horizon is shrinking along the cosmic time evolution. The
former achieves larger size for regular types of matter, contrary to the
latter. The strength of interactions within the cosmic fluid are shown to play
a more important role in affecting the evolution of the event horizon, rather
than of the cosmological horizon in the case of a singularity-free universe.
While the cosmological horizon always exists during the time evolution, the
event horizon can exist only when a certain relationship between the
Hawking-Hayward quasi-local mass and the Hubble function is fulfilled. In this
manner, we can study the role played by the large-scale physics (cosmic
evolution) on the local scale physics (evolution of a black hole).
