Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models

Journal Article · Sun May 01 04:00:00 EDT 2011 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2011/05/028· OSTI ID:22277668

Nwankwo, Anthony; Ishak, Mustapha; Thompson, John ^[1]

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1. Department of Physics, The University of Texas at Dallas, Richardson, TX 75083 (United States)

The Szekeres inhomogeneous models can be used to model the true lumpy universe that we observe. This family of exact solutions to Einstein's equations was originally derived with a general metric that has no symmetries. In this work, we develop and use a framework to integrate the angular diameter and luminosity distances in the general Szekeres models. We use the affine null geodesic equations in order to derive a set of first-order ordinary differential equations that can be integrated numerically to calculate the partial derivatives of the null vector components. These equations allow the integration in all generality of the distances in the Szekeres models and some examples are given. The redshift is determined from simultaneous integration of the null geodesic equations. This work does not assume spherical or axial symmetry, and the results will be useful for comparisons of the general Szekeres inhomogeneous models to current and future cosmological data.

• OSTI ID: 22277668
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 05 Vol. 2011; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
AXIAL SYMMETRY
COMPARATIVE EVALUATIONS
COSMOLOGICAL MODELS
COSMOLOGY
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EXACT SOLUTIONS
GEODESICS
LUMINOSITY
METRICS
RED SHIFT
UNIVERSE
VECTORS