Einstein-Born-Infeld-dilaton black holes in nonasymptotically flat spacetimes

We derive exact magnetically charged, static, and spherically symmetric black hole solutions of the four-dimensional Einstein-Born-Infeld-dilaton gravity. These solutions are neither asymptotically flat nor (anti)-de Sitter. The properties of the solutions are discussed. It is shown that the black holes are stable against linear radial perturbations.

Figure 1

Behavior of the function $F(z)$ for $\gamma =\sqrt{3}$ and $P_{\mathrm{crit}}/|P|=1.2$.