Taylor expansion of luminosity distance in Szekeres cosmological models: Effects of local structures evolution on cosmographic parameters

摘要

We consider the Goode-Wainwright representation of the Szekeres cosmologicalmodels and calculate the Taylor expansion of the luminosity distance in orderto study the effects of the inhomogeneities on cosmographic parameters. Withoutmaking a particular choice for the arbitrary functions defining the metric, weTaylor expand up to the second order in redshift for Family I and up to thethird order for Family II Szekeres metrics under the hypotesis, based onobservation, that local structure formation is over. In a conservative fashion,we also allow for the existence of a non null cosmological constant.