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arXiv · 2105.07994

Exact solutions in two-dimensional metric $f(R)$-gravity

Maria Shubina
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Abstract

In this paper we consider the two-dimensional metric $f(R)$-gravity model for the metric tensor depending on two variable: time and one spacelike coordinate. We obtain exact analytical vacuum solutions for different forms of function $ f(R) $ which are solutions of cosmological type. These solutions are expressed in terms of arbitrary functions, which, under certain conditions, can be chosen as new variables.

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Maria Shubina. 2021-05-17. Exact solutions in two-dimensional metric $f(R)$-gravity. https://arxiv.org/abs/2105.07994

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