https://doi.org/10.1140/epjc/s10052-023-11176-9
Regular Article - Theoretical Physics
Analytically approximation solution to
gravity
1
Department of Physics, School of Science, Shiraz University, 71454, Shiraz, Iran
2
Biruni Observatory, School of Science, Shiraz University, 71454, Shiraz, Iran
3
School of Physics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5531, Tehran, Iran
4
School of Particles and Accelerators, Institute for Research in Fundamental Science (IPM), P.O. Box 19395-5746, Tehran, Iran
5
Steklov Mathematical Institute, Russian Academy of Sciences, Gubkina str. 8, 119991, Moscow, Russia
6
Canadian Quantum Research Center 204-3002 32 Ave Vernon, V1T 2L7, BC, Canada
Received:
24
August
2022
Accepted:
27
December
2022
Published online:
19
January
2023
In this paper, we obtain analytical approximate black hole solutions in the framework of f(R) gravity and the absence of a cosmological constant. In this area, we apply the equations of motion of the theory to a spherically symmetric spacetime with one unknown function and derive black hole solutions without any constraints on the Ricci scalar. To do so, first, we obtain the near horizon and asymptotic solutions and then use both of them to obtain a complete solution by utilizing a continued-fraction expansion. Finally, we investigate the stability of the solutions by employing the thermodynamics and quasi-normal modes.
© The Author(s) 2023
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. SCOAP3 supports the goals of the International Year of Basic Sciences for Sustainable Development.