具有尘埃和辐射的球对称宇宙时空--数值实现
Spherically symmetric cosmological spacetimes with dust and radiation - numerical implementation
摘要:
本文给出了爱因斯坦场方程的新的数值宇宙学解。时空是球对称的,尘埃和辐射源近似为理想流体。由于时空的不均匀性,尘埃和辐射必然是不共动的。这样的模型可以用来研究非线性广义相对论效应,在去耦或大爆炸核合成,以及研究空模型的暗能量等曲率自由度。我们描述了完整的时空演化以及红移和光度距离的中心观察者。在证明了代码的准确性之后,我们考虑了几个示例模型,并证明了后期模型对初始辐射对比度的不均匀性程度的敏感性。
英文摘要:
We present new numerical cosmological solutions of the Einstein Field Equations. The spacetime is spherically symmetric with a source of dust and radiation approximated as a perfect fluid. The dust and radiation are necessarily non-comoving due to the inhomogeneity of the spacetime. Such a model can be used to investigate non-linear general relativistic effects present during decoupling or big-bang nucleosynthesis, as well as for investigating void models of dark energy with isocurvature degrees of freedom. We describe the full evolution of the spacetime as well as the redshift and luminosity distance for a central observer. After demonstrating accuracy of the code, we consider a few example models, and demonstrate the sensitivity of the late time model to the degree of inhomogeneity of the initial radiation contrast.
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