# Does the cosmic censorship conjecture limit the charge/mass ratio for particles?

For charged black holes, supposing true the cosmic censorship conjecture, this inequality must be verified (in natural units):

$GM^2 > Q^2$

Where of course $M$ and $Q$ are the mass and charge of the black hole. Now suppose you "throw" a bunch of charged particles into the black hole. I know that the definition of charge and mass of a black hole is complicated and I know almost nothing about those. What I know is that they are usually defined based on their asymptotic values far away from the hole.

A quick google search seems to tell me that a particle falling into the black hole cause its mass and charged to increase of the mass and charged of the particle.

Does this mean that the inequality imply a limit for the mass/charge ratio for charged particles? Because if there's no limit one could keep throwing particles with a specific ratio until the inequality is no longer true creating a naked singularity.

• – Qmechanic Sep 22 '16 at 14:25
• Which natural units? – Sean E. Lake Sep 22 '16 at 14:46
• It has already been answered and accepted. And it is a good answer. Why not take it off the bounty list? Nobody is going to waste their time if they may have any interest on the bounty. Of course, somebody with a different answer, if it was correct, would get the bounty, and actually counter well accepted previous results by Wald, and many others doing calculations later. So it'd be a real coup. But if it was me I'd publish that in Phys Rev or Letters instead. So, call this bounty claimed. – Bob Bee Sep 24 '16 at 5:38