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

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Discussion Overview

The discussion explores the hypothetical scenario of increasing the electrical charge of an extremal black hole, particularly focusing on the implications of adding a significant number of electrons. Participants examine the interplay between electromagnetic forces and gravitational forces in this context.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant questions whether the electromagnetic force could ever overcome the gravitational pull of a black hole, suggesting that this concept is not widely accepted.
  • Another participant acknowledges the hypothetical nature of the scenario but asserts that increasing charge could lead to exotic spacetime geometries, potentially including naked singularities.
  • A participant proposes that if electrons are added to the black hole, it would remain an extremal black hole with increased charge and mass, emphasizing that general relativity does not allow for the addition of charge without mass.
  • It is suggested that the potential energy of the added negative charges has an equivalent mass, which contributes to the gravitational forces that could counteract the repulsive forces among the electrons.
  • Some participants express uncertainty about the dynamics involved, particularly regarding the balance between electromagnetic repulsion and gravitational attraction.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the effects of increasing an extremal black hole's charge, with multiple competing views and uncertainties remaining about the interplay of forces involved.

Contextual Notes

The discussion includes assumptions about the nature of black holes and the effects of adding charge, which are not universally agreed upon. There are unresolved questions regarding the implications of general relativity in this context.

kcajrenreb
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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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