Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2010-05-17
JCAP 1105:028, 2011
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
14 pages, 1 figure, matches JCAP accepted version
Scientific paper
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.
Ishak Mustapha
Nwankwo Anthony
Thompson John
No associations
LandOfFree
Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-299607