Regular Article - Theoretical Physics
Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in Einstein’s and Jordan’s frames
Institut de Ciències de l’Espai (ICE-CSIC/IEEC), Campus UAB, c. Can Magrans s/n, 08193, Barcelona, Spain
2 Centre for Theoretical Physics, The British University in Egypt, 11837, El Sherouk City, Egypt
3 Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Department of Physics, Nagoya University, 464-8602, Nagoya, Japan
4 Institució Catalana de Recerca i Estudis Avançats (ICREA), Barcelona, Spain
5 Tomsk State Pedagogical University, 634061, Tomsk, Russia
Accepted: 23 January 2020
Published online: 10 February 2020
Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: , with or without a cosmological constant. The new black holes behave asymptotically as flat or (A)dS space-times with a dynamical value of the Ricci scalar given by and , respectively. They are characterized by three parameters, namely their mass and electric and magnetic charges, and constitute black hole solutions different from those in Einstein’s general relativity. Their singularities are studied by obtaining the Kretschmann scalar and Ricci tensor, which shows a dependence on the parameter that is not permitted to be zero. A conformal transformation is used to display the black holes in Einstein’s frame and check if its physical behavior is changed w.r.t. the Jordan one. To this end, thermodynamical quantities, as the entropy, Hawking temperature, quasi-local energy, and the Gibbs free energy are calculated to investigate the thermal stability of the solutions. Also, the casual structure of the new black holes is studied, and a stability analysis is performed in both frames using the odd perturbations technique and the study of the geodesic deviation. It is concluded that, generically, there is coincidence of the physical properties of the novel black holes in both frames, although this turns not to be the case for the Hawking temperature.
© The Author(s) 2020
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