https://doi.org/10.1140/epjp/s13360-023-04339-w
Regular Article
Three-dimensional accelerating AdS black holes in F(R) gravity
1
Department of Theoretical Physics, Faculty of Science, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
2
ICRANet-Mazandaran, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran
3
ICRANet, Piazza della Repubblica 10, 65122, Pescara, Italy
4
Department of Physics, School of Science, Shiraz University, 71946-84795, Shiraz, Iran
Received:
17
April
2023
Accepted:
1
August
2023
Published online:
19
August
2023
Considering a three-dimensional 
metric, we obtain the exact accelerating black holes in the F(R) theory of gravity coupled with and without a matter field. First, we extract uncharged accelerating AdS black hole solutions in F(R) gravity. Then, we study the effects of various parameters on metric function, roots, and the temperature of these black holes. The temperature is always positive for the radii less than 
, and it is negative for the radii more than 
. We extend our study by coupling nonlinear electrodynamics as a matter filed to F(R) gravity to obtain charged black holes in this theory. Next, we evaluate the effects of different parameters such as the electrical charge, accelerating parameter, angular, F(R) gravity, and scalar curvature on the obtained solutions, roots, and temperature of three-dimensional charged accelerating AdS black holes. The results indicate that there is a root in which it depends on various parameters. The temperature of these black holes is positive after this root.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
