Born–Infeld black holes in 4D Einstein–Gauss–Bonnet gravity
Ke Yang (School of Physical Science and Technology, Southwest University, Chongqing, 400715, China); Bao-Min Gu (Department of Physics, Nanchang University, Nanchang, 330031, China, Center for Relativistic Astrophysics and High Energy Physics, Nanchang University, Nanchang, 330031, China); Shao-Wen Wei (Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou, 730000, China, Joint Research Center for Physics, Lanzhou University, Lanzhou, 730000, China); Yu-Xiao Liu (Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou, 730000, China, Joint Research Center for Physics, Lanzhou University, Lanzhou, 730000, China, Qinghai Normal University, Xining, 810000, China)
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).
