What Happens When You Increase an Extremal Black Hole's Charge?

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Increasing the electrical charge of an extremal black hole by adding electrons would not tear it apart, as the gravitational force remains dominant. While the added electrons repel each other due to their negative charges, their potential energy contributes mass, which in turn generates gravity that helps maintain the black hole's structure. The concept of electromagnetic force overcoming gravity is misleading; rather, the interplay of forces leads to complex spacetime geometries. If only charge were added without mass, general relativity suggests this scenario is not feasible. Ultimately, the black hole would remain intact, with a larger charge and mass.
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If you were to greatly increase the elctrical charge of an extremal Black Hole, (ie, drop a lot of electron in) what exactly would happen to it? I know the electrical repulsion would become more powerful than the gravity, so would it tear itself apart?
 
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I've never heard of the electromagnetic force overcoming the gravitational pull of a black hole. Are you sure about that?
 
Drakkith said:
I've never heard of the electromagnetic force overcoming the gravitational pull of a black hole. Are you sure about that?

Yes, well, its a hypothetical situation, but it can certainly happen.
 
kcajrenreb said:
If you were to greatly increase the elctrical charge of an extremal Black Hole, (ie, drop a lot of electron in) what exactly would happen to it? I know the electrical repulsion would become more powerful than the gravity, so would it tear itself apart?
If you just added more electrons to it, it would just stay an extremal black-hole with a larger charge and mass... if you magically added only charge, and not mass---well, GR says you can't do that.

Drakkith said:
I've never heard of the electromagnetic force overcoming the gravitational pull of a black hole. Are you sure about that?
Its not quite as simple as EM 'overcoming' gravity, nothing can 'overcome' the gravity. But you can get very exotic spacetime geometries... perhaps even naked singularities according to some loop quantum gravity, and pure GR extrapolations...
 
zhermes said:
If you just added more electrons to it, it would just stay an extremal black-hole with a larger charge and mass... if you magically added only charge, and not mass---well, GR says you can't do that.

Specifically imagine that you add a lot of electrons to the black hole. The electrons all have negative charges so they are repelling each other. However, those negative charges have stored potential energy and that energy has an equivalent mass (E=mc^2).

So if you try to add enough charge to blow the black hole apart, what happens is that that charge has potential energy which has mass which has gravity which keeps the black hole together.
 
twofish-quant said:
Specifically imagine that you add a lot of electrons to the black hole. The electrons all have negative charges so they are repelling each other. However, those negative charges have stored potential energy and that energy has an equivalent mass (E=mc^2).

So if you try to add enough charge to blow the black hole apart, what happens is that that charge has potential energy which has mass which has gravity which keeps the black hole together.

Thanks.
 
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