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

Abstract

We consider the Goode-Wainwright representation of the Szekeres cosmological models and calculate the Taylor expansion of the luminosity distance in order to study the effects of the inhomogeneities on cosmographic parameters. Without making a particular choice for the arbitrary functions defining the metric, we Taylor expand up to the second order in redshift for Family I and up to the third order for Family II Szekeres metrics under the hypotesis, based on observation, that local structure formation is over. In a conservative fashion, we also allow for the existence of a non null cosmological constant.

20 pages, Submitted to JCAP, uses jcappub.sty; revision of sections 4-6; correction of minor typo

References in corpus (19)

• Dynamics of dark energy
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Supernova Constraints and Systematic Uncertainties from the First 3 Years of the Supernova Legacy Survey
• Reconstructing Dark Energy
• A kinematical approach to dark energy studies
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Accelerated expansion from structure formation
• A new framework for analyzing the effects of small scale inhomogeneities in cosmology
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• Testing the Void against Cosmological data: fitting CMB, BAO, SN and H0
• Local Void vs Dark Energy: Confrontation with WMAP and Type Ia Supernovae
• The 16OH/18OH and OD/OH isotope ratios in comet C/2002 T7 (LINEAR)
• Dark Energy: Recent Developments
• Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe
• Accelerated expansion without dark energy
• Exact nonlinear inhomogeneities in $\Lambda$CDM cosmology
• Uncertainty on w from large-scale structure
• Luminous Stars in Galaxies Beyond 3 Mpc

Cited by in corpus (5)

• Multipole decomposition of the general luminosity distance 'Hubble law' -- a new framework for observational cosmology
• Symmetry and Equivalence in Szekeres Models
• Frame Rotation in the Szekeres Spacetimes
• Physical geometry of the quasispherical Szekeres models
• Intrinsically symmetric cosmological model in the presence of dissipative fluids