8246 2004.14468 10.1140/epjc/s10052-020-8246-6 662 69 Born–Infeld black holes in 4D Einstein–Gauss–Bonnet gravity Regular Article - Theoretical Physics 1 10 2020 7 14 2020 5 26 2020 7 14 2020 7 23 Fundamental Research Funds for the Central Universities XDJK2019C051 National Natural Science Foundation of China 11675064 11875151 National Natural Science Foundation of China 11947025 The Author(s) 2020 Open AccessThis 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 Ke Yang keyang@swu.edu.cn Bao-Min Gu gubm@ncu.edu.cn Shao-Wen Wei weishw@lzu.edu.cn Yu-Xiao Liu liuyx@lzu.edu.cn grid.263906.8 School of Physical Science and Technology Southwest University Chongqing 400715 China 0000 0001 2182 8825 grid.260463.5 Department of Physics Nanchang University Nanchang 330031 China 0000 0001 2182 8825 grid.260463.5 Center for Relativistic Astrophysics and High Energy Physics Nanchang University Nanchang 330031 China 0000 0000 8571 0482 grid.32566.34 Institute of Theoretical Physics & Research Center of Gravitation Lanzhou University Lanzhou 730000 China 0000 0000 8571 0482 grid.32566.34 Joint Research Center for Physics Lanzhou University Lanzhou 730000 China 0000 0001 0694 7527 grid.462704.3 Qinghai Normal University Xining 810000 China Abstract A novel four-dimensional Einstein-Gauss-Bonnet gravity was formulated by Glavan and Lin (Phys. Rev. Lett. 124:081301, 2020), which is intended to bypass the Lovelock’s theorem and to yield a non-trivial contribution to the four-dimensional gravitational dynamics. However, the validity and consistency of this theory has been called into question recently. We study a static and spherically symmetric black hole charged by a Born–Infeld electric field in the novel four-dimensional Einstein–Gauss–Bonnet gravity. It is found that the black hole solution still suffers the singularity problem, since particles incident from infinity can reach the singularity. It is also demonstrated that the Born-Infeld charged black hole may be superior to the Maxwell charged black hole to be a charged extension of the Schwarzschild-AdS-like black hole in this new gravitational theory. Some basic thermodynamics of the black hole solution is also analyzed. Besides, we regain the black hole solution in the regularized four-dimensional Einstein–Gauss–Bonnet gravity proposed by Lü and Pang (arXiv:2003.11552).