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

Abstract

In this article we propose the scheme of integration of two-dimensional $F(R)$ gravity vacuum equations in a travelling wave variable. The main emphasis is placed on the fundamental possibility of obtaining different forms of the function $F(R)$ by arbitrarily choosing a certain function through which all components of the metric tensor of the theory can be expressed.

13 pages, 0 figures

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