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arXiv · 2212.11648

Exact analytical vacuum solutions of $ R^n $-gravity model depending on two variables

Maria Shubina
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Abstract

In this paper we consider the metric power-law $f(R)\sim R^n $-gravity model for the four-dimensional metric tensor depending on two coordinates. We obtain exact analytical vacuum solutions for different values of $ n $. These solutions contain both non-stationary configurations of the travelling wave type and stationary ones, in particular, depending on one radial variable.

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Maria Shubina. 2022-12-22. Exact analytical vacuum solutions of $ R^n $-gravity model depending on two variables. https://doi.org/10.1016/j.aop.2023.169245

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