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Spatial clustering nature of galaxies have been studied previously throughauto correlation function. The same type of cross correlation function has beenused to investigate parametric clustering nature of galaxies e.g. with respectto masses and sizes of galaxies.  Here formation and evolution of several components of nearby massive earlytype galaxies have been envisaged through cross correlations, in the mass-sizeparametric plane, with high redshift early type galaxies (hereafter ETG).It isfound that the inner most components of nearby ETGs have significantcorrelation with ETGs in the highest redshift range called red nuggets whereasintermediate components are highly correlated with ETGs in the redshift rangewith z value greater than 0.5 and less than 0.75. The outer most part has nocorrelation in any range, suggesting a scenario through in situ accretion. Theabove formation scenario is consistent with the previous results obtained forNGC5128 (Chattopadhyay et al. (2009), Chattopadhyay et al. (2013)) and to someextent for nearby elliptical galaxies (Huang et al. (2013)) after considering asample of ETGs at high redshift with stellar masses greater than or equal to108.73 M-Sun. So the present work indicates a three phase formation of massivenearby elliptical galaxies instead of two as discussed in previous works.

Use of spatial cross correlation function to study formation mechanism of massive elliptical galaxies