Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University
Class. Quantum Grav. 42(9), 09LT01 (2025)
In their seminal 1992 paper, Ba & ntilde;ados, Teitelboim and Zanelli (BTZ) proposed a simple charged generalization of what is now known as the spinning BTZ black hole, the proposal being that a rotating metric can be supported by a 'static vector' potential. While with such an ansatz the Einstein equations are satisfied, and the corresponding energy-momentum tensor is divergence-less, the Maxwell equations do not (due to the special degenerate form of the corresponding field strength) hold. More recently, Deshpande and Lunin have proposed a generalized 'Einstein-Maxwell' system that yields analytic rotating black holes in all odd dimensions. In this paper, we show that the original charged BTZ solution can be re-interpreted as a solution of the Deshpande-Lunin theory. Moreover, as we shall explicitly illustrate on an example of regularized conformal electrodynamics, a similar construction also works for any non-linear electrodynamics in 3-dimensions. At the same time, all these spacetimes represent self-gravitating solutions of (non-linear electrodynamics generalized) force-free electrodynamics.
@article{UTF1042,
author = {Hale, T. and Hull, B. R. and Kubiňák, D. and Mann, R. B. and Menšíková, J.},
title = {{New interpretation of the original charged BTZ black hole spacetime}},
journal = {Class. Quantum Grav.},
volume = {42},
number = {9},
pages = {09LT01},
year = {2025},
doi = {10.1088/1361-6382/adc9f2},
eprint = {2412.04329},
archivePrefix = {arXiv},
url = {https://doi.org/10.48550/arXiv.2412.04329},
}