https://doi.org/10.1140/epjc/s10052-021-09122-8
Regular Article – Theoretical Physics
Exact charged black hole solutions in D-dimensions in f(R) gravity
1
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
2
School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China
3
School of Aeronautics and Astronautics, Shanghai Jiao Tong University, 200240, Shanghai, China
4
Physics Division, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece
Received:
26
January
2021
Accepted:
4
April
2021
Published online:
21
April
2021
We consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we find a general black hole solution in D-dimensions. This general black hole solution can reduce to the Reissner–Nordström (RN) black hole in D-dimensions in Einstein gravity and to the known charged black hole solutions with constant curvature in f(R) gravity. Restricting the parameters of the general solution we get polynomial solutions which reveal novel properties when compared to RN black holes. Specifically we study the solution in 
-dimensions in which the form of f(R) can be solved explicitly giving a dynamic curvature and compare it with the RN black hole. We also carry out a detailed study of its thermodynamics.
© The Author(s) 2021
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