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

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.

arXiv comment19 pages, 8 figures

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Cited by in corpus (1)

• Scheme of integration of vacuum $F(R)$ gravity in a travelling wave variable