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The Hubble constant is one of the most important parameters in cosmology.Discrepancies in values of the Hubble constant estimated from variousmeasurements, the so-called Hubble tension, are a serious problem. In thispaper, we study the effects of small-scale inhomogeneities of structureformation on the measurement of the Hubble constant using the luminositydistance-redshift relation. By adopting the adhesion model in Newtoniancosmology as the model of structure formation, we investigate whether or notthe effects of inhomogeneities can be sufficiently large to affect the currentobservations of the Hubble constant. We show that inappropriate treatment ofthe effects of inhomogeneities can cause a large deviation of the measuredvalue of the Hubble constant from the background value, whose magnitude iscomparable with the Hubble tension. Our main message is the importance ofadopting an appropriate model of structure formation to investigate the effectsof inhomogeneities. We also add discussion on the spatial averaging approachused to estimate the measured Hubble constant in the inhomogeneous universe.

Remarks on overestimating the effects of inhomogeneities on the Hubble constant