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

The Horizon of the McVittie Black Hole: On the Role of the Cosmic Fluid Modeling