Black hole solutions with multiple coinciding inner horizons are built in nonlinear electrodynamics so that vanishing surface gravity eliminates mass inflation.
Braun et al., Negative absolute temperature for mo- tional degrees of dreedom, Science, 52,339(2013)
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Black holes of multiple horizons without mass inflation
Black hole solutions with multiple coinciding inner horizons are built in nonlinear electrodynamics so that vanishing surface gravity eliminates mass inflation.