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arXiv 1005.2989astro-ph.COgr-qc
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Szekeres非均匀宇宙学模型中的光度距离和红移

Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models

Anthony Nwankwo, Mustapha Ishak, John Thompson

摘要:

Szekeres非均匀模型可以用来模拟我们观察到的真实的宇宙。爱因斯坦方程的这个精确解族最初是用一个没有对称性的一般度量导出的。在这项工作中,我们开发和使用一个框架来整合一般Szekeres模型中的角直径和光度距离。我们使用的仿射零测地线方程,以获得一组一阶常微分方程,可以集成数值计算零矢量分量的偏导数。这些方程允许在Szekeres模型中的距离的所有一般性的集成,并给出了一些例子。红移由零测地线方程的同时积分确定。这项工作不假设球或轴对称,结果将是有用的一般Szekeres非均匀模型的比较,当前和未来的宇宙学数据。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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