Charged black holes from a family of Born-Infeld-type electrodynamics models

Novel charged black hole solutions of Born–Infeld type: General properties, Smarr formula and Quasinormal frequencies

“…Considering now the metric (18) in the fields Eqs. (15) for the Lagrangian (11) and going through the same steps as in the previous subsection, one can obtain the corresponding metric function…”

“…Born-Infeld theory has inspired other models of NLE, for example the theory of Soleng [3] and others, such as those presented in Refs. [4][5][6][7][8][9][10][11][12][13][14][15]. They all characterized by a non-linear parameter b, and in a certain limit (b → 0 or b → ∞, depending on the formulation) the standard Reissner-Nordström solution [16] of Maxwell's linear theory is recovered.…”