Regular Article - Theoretical Physics
Exact black hole solutions with a conformally coupled scalar field and dynamic Ricci curvature in f(R) gravity theories
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
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
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Funded by SCOAP3