Can Electrons Overcome Gravity in a Black Hole?

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SUMMARY

The discussion centers on the interaction between electrons and black holes, specifically examining whether the Coulomb repulsion of electrons can overcome the gravitational pull of a black hole. The Reissner-Nordström metric is highlighted as a crucial framework for understanding charged, nonspinning black holes, which have a limit on charge before becoming naked singularities. It is established that while gravity is often considered weak, it can dominate under certain conditions, and adding charge to a black hole does not convert it into a naked singularity without sufficient mass. Key references include the Reissner-Nordström black hole Wikipedia page and relevant academic papers.

PREREQUISITES
  • Understanding of the Reissner-Nordström metric
  • Familiarity with concepts of singularities in general relativity
  • Knowledge of Coulomb's law and electrostatics
  • Basic principles of black hole physics
NEXT STEPS
  • Study the Reissner-Nordström black hole metric in detail
  • Explore the concept of naked singularities and their implications
  • Research the relationship between charge and mass in black holes
  • Examine the role of fundamental forces in extreme gravitational fields
USEFUL FOR

Physicists, astrophysicists, and students of general relativity interested in the dynamics of charged black holes and the interplay of fundamental forces in extreme environments.

cragar
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What if I shoot a bunch of electrons into a black hole, could I make the coulomb repulsion over come the gravity and maybe push the black hole apart?
 
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Check out the Reissner-Nordström metric, which describes a spacetime containing a charged, nonspinning black hole. You will see that there is an upper bound on the charge the hole can carry before it becomes a naked singularity. However, the constituent matter/energy will not escape.

http://en.wikipedia.org/wiki/Reissner-Nordström_black_hole
 
thanks, Ill read more about it. Why do people say that gravity is weak if in certain cases gravity can over power the other fundamental forces? Or does there come a time when I wouldn't be able to shoot more electrons into the BH, Like the E field of the BH would push the electrons away?
 
Naked singularities exist as a solution to the charged black hole equations,but you can't turn a non-naked black hole into a naked singularity by feeding it charge. In order to get the charge into the black hole, you'll have to give it enough mass that it won't become a naked singularity.

This is mentioned in MTW, for instance, I'd have to look up the exact reference. It should be mentioned in most other textbooks, too.
 

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