Horizon area-angular momentum-charge-magnetic fluxes inequalities in 5D Einstein-Maxwell-dilaton gravity

TL;DR

This paper derives inequalities relating the horizon area, angular momenta, electric charge, and magnetic fluxes in 5D Einstein-Maxwell-dilaton gravity, applicable to dynamical, axisymmetric spacetimes with trapped surfaces.

Contribution

It establishes new geometric inequalities in 5D Einstein-Maxwell-dilaton gravity for dynamical, axisymmetric spacetimes with trapped surfaces.

Findings

Inequalities between area, angular momentum, charge, and fluxes derived.

Applicable to highly dynamical 5D spacetimes with axisymmetry.

Provides bounds relevant for black hole horizon properties.

Abstract

In the present paper we consider 5D spacetimes satisfying the Einstein-Maxwell-dilaton gravity equations which are $U(1)^2$ axisymmetric but otherwise highly dynamical. We derive inequalities between the area, the angular momenta, the electric charge and the magnetic fluxes for any smooth stably outer marginally trapped surface.