\((2 + 1)\)-dimensional dynamical black holes in Einstein-nonlinear Maxwell theory. (English) Zbl 1381.83064
Summary: Radiative extensions of BTZ metric in \((2 + 1)\) dimensions are found which are sourced by nonlinear Maxwell fields and a null current. This may be considered as generalization of the problem formulated long go by Vaidya and Bonnor. The mass and charge are functions of retarded/advanced null coordinate apt for decay/inflation. The new solutions are constructed through a Theorem that works remarkably well for any nonlinear electrodynamic model. Hawking temperature is analyzed for the case of the Born-Infeld electrodynamics.
MSC:
| 83C57 | Black holes |
| 83C80 | Analogues of general relativity in lower dimensions |
| 83C22 | Einstein-Maxwell equations |
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