1210.4684 (Stoytcho S. Yazadjiev)

Area-angular momentum-charge inequality for stable marginally outer
trapped surfaces in 4D Einstein-Maxwell-dilaton theory    [PDF]

Stoytcho S. Yazadjiev

We derive inequalities between the area, the angular momentum and the charges for axisymmetric closed outermost stably marginally outer trapped surfaces, embedded in dynamical and, in general, non-axisymmetric spacetimes satisfying the Einstein-Maxwell-dilaton-matter equations. In proving the inequalities we assume that the dilaton potential is nonnegative and that the matter energy-momentum tensor satisfies the dominant energy condition.

View original: http://arxiv.org/abs/1210.4684