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

TL;DR

This paper establishes inequalities relating area, angular momentum, and charges for certain trapped surfaces in 4D Einstein-Maxwell-dilaton spacetimes, under specific energy and stability conditions.

Contribution

It introduces new inequalities connecting geometric and physical quantities for marginally outer trapped surfaces in Einstein-Maxwell-dilaton theory, including non-axisymmetric cases.

Findings

Derived inequalities between area, angular momentum, and charges.

Applicable to non-axisymmetric, dynamical spacetimes.

Assumes nonnegative dilaton potential and dominant energy condition.

Abstract

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.