https://doi.org/10.1140/epjc/s10052-021-09717-1
Regular Article - Theoretical Physics
Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature in f(R) gravity theories
1
Physics Division, National Technical University of Athens, Zografou Campus, 15780, Athens, Greece
2
School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, 310024, Hangzhou, China
3
School of Aeronautics and Astronautics, Shanghai Jiao Tong University, 200240, Shanghai, China
4
Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, 225009, Yangzhou, China
5
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, China
Received:
17
July
2021
Accepted:
4
October
2021
Published online:
11
October
2021
We report exact black hole solutions in asymptotically flat or (A)dS four-dimensional spacetime with a conformally coupled self-interacting scalar field in f(R) gravity. We first consider the asymptotically flat model 
and derive an exact black hole solution. Then, we consider the asymptotically (A)dS model 
and derive an exact black hole solution. In both cases the modified gravity parameter 
, which has the dimension of the inverse mass, cannot be set to zero and the self-interacting potential is determined from the Klein–Gordon equation, preserving the conformal invariance. The thermodynamics of the solutions is also studied.
© The Author(s) 2021
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