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arXiv · 2207.08488

Second-order dust perturbations of the non-flat FLRW model with the positive cosmological constant

Szymon Sikora
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Abstract

In this paper, a specific solution to the second-order cosmological perturbation theory is given. Perturbations are performed around any FLRW spacetime filled with dust and with a positive cosmological constant. In particular, with a possibly non-vanishing spatial curvature. The adopted symmetry condition allows us to simplify the equations, leaving us with a great deal of freedom to choose the density distribution. In the result, we get a relatively simple metric of an inhomogeneous cosmological model, which will give a perfect tool for studying the influence of the local inhomogeneities onto the cosmological observables.

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Szymon Sikora. 2022-07-18. Second-order dust perturbations of the non-flat FLRW model with the positive cosmological constant. https://doi.org/10.1088/1361-6382%2Facaa81

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