This is a fork-off from someone else's recent thread that seems destined to languish without response in it's new home. Although the initial query there was from a QED angle, the issue of just how or whether a charged BH makes sense needs tackling from GR angle. The established view evidently is that externally observed net charge is invariant wrt whether infalling charged matter is exterior, at, or 'inside' the EH (event horizon). In other words, from a coordinate perspective and presumably quite generally, charge invariance holds for BH's, as determined by appropriately applying Gauss's law to a static bounding surface enclosing any infalling charge and the BH proper. Below are situations imo casting doubt on that position: 1: Matter of proper mass m gently lowered towards the EH reduces in coordinate measure as m' = fm, with f the usual redshift expression f = √(1-2GM/(rc2)). In keeping with that conservation of energy applies and work is being extracted in the lowering process. Now suppose that m also carries a charge q. it makes no difference to the net reduction in m as all forms of energy reduce the same. Locally there is no variation in the proper charge-to-mass ratio q/m. How can that local invariance of q/m (no free-fall case) not be also reflected as remotely observed - i.e. q' = fq? Certainly the locally invariant q/m will show remotely as a proportionately equally redshifted reduction in the Newtonian gravitational and Coulombic forces of attraction/repulsion between two adjacent such charged masses. The implication is obvious - as vanishes coordinate mass, so vanishes coordinate charge. 2: Gently lowering a charged flywheel (or counter-rotating pair to avoid 'twistup'), while feeding it with power so as to maintain constant externally observed mass. Only advantage of this scenario is that explicitly the locally determined proper q/m ratio steadily declines - a direct consequence of locally observed charge invariance. Which as for example 1: implies the failure of global charge invariance whenever gravity is involved. 3: Now for a 'realistic' BH case, one cannot gently lower mass/charge indefinitely and free-fall is the obvious scenario to consider. Coordinate m is then invariant, as potential energy steadily and conservatively converts to KE. Proper q/m is still invariant but that free-fall determination is surely not the right one to apply here. A hovering observer close to the EH, and defining a fixed location on a bounding Gaussian surface of integration, sees a highly relativistic mass infalling past with a small and continually shrinking q/(γm) ratio, where γ = 1/√(1-(v/c)2) is the usual SR expression locally observed. All-in-all then the quasi-hovering scenarios of slow lowering and that of free-fall dovetails together and imo leads to the same conclusion; asymptotic vanishing of externally observed charge as EH is approached. While the extreme case of BH implies the asymptotic vanishing of all infalling charge, a finite redshift factor should apply more generally. Hence for a spherical capacitor, where the inner surface is that of a gravitating mass, one expects from the foregoing a net field exists exterior to the outer spherical shell, owing to greater gravitational depression of the charge on the inner surface, despite equal numbers of charges on both surfaces. The standard position that gravitational redshift of charge does not occur has some ready explanation as to why foregoing is wrong? That would have to be more than simply ab initio enforcing global charge invariance as an axiom I presume? The notion that electric field somehow detaches from source charge and hovers outside a BH EH is perhaps one way of hand-waving an answer. My instant objection would be that for any close distribution of infalling charges, they continue to experience Coulombic fall-off in each other's fields at every stage of infall, something hardly in keeping with a strange delocalization process imo. So, any takers this thread?