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

DOI10.1016/J.AOP.2023.169245arXiv2212.11648MaRDI QIDQ6421361

Publication date: 22 December 2022

Abstract: In this paper we consider the metric power-law

f (R) s i m 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.

Mathematics Subject Classification ID

Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Exact solutions to problems in general relativity and gravitational theory (83C15) Traveling wave solutions (35C07)

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