Minkowski Functional of SDSS Galaxies I: Analysis of Excursion Sets

Abstract

We present a first morphometric investigation of a preliminary sample from the SDSS of 154287 galaxies with apparent magnitude 14.5 < mr < 17.5 and redshift 0.001 < z < 0.4. We measure the Minkowski Functionals, which are a complete set of morphological descriptors. To account for the complicated wedge-like geometry of the present survey data, we construct isodensity contour surfaces from the galaxy positions in redshift space and employ two complementary methods of computing the Minkowski Functionals. We find that the observed Minkowski Functionals for SDSS galaxies are consistent with the prediction of a A-dominated spatially-flat Cold Dark Matter model with random-Gaussian initial conditions, within the cosmic variance estimated from the corresponding mock catalogue. We expect that future releases of the SDSS survey will allow us to distinguish morphological differences in the galaxy distribution with regard to different morphological types and luminosity ranges.