# Questions tagged [reissner-nordstrom-metric]

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### Magnetic Reissner-Nordstrom Black holes

I am studying the RN black hole from Carroll, but i have a hard time following his explanations given in page 254. To solve for the purely electrically charged black hole, one introduces the four-...
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### Mass/Charge ratio of a black hole

Which order of mass/charge ratio must a black hole have to become overfed?
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### How close does a charged particle have to be “attracted” to a charged black hole?

Let’s say see have a “mildly charged” black hole ($r_q \ll r_s$), and an electron or positive that has the same charge. While the charge to mass ratio of the black hole is orders of magnitude below ...
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### Electric field of a black hole with charges fall into from opposite directions [duplicate]

Take a black hole, drop in some protons into end and some electrons into the point directly opposite. I am having a great deep of trouble understanding why this doesn’t turn the black hole into an ...
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### What is the formula for the radius of the photon sphere of a charge black hole? [closed]

What is the formula for the radius of the photon sphere of a charge black hole? I've found the formula for a Schwarzschild black hole and a Kerr black hole but despite some googling but I can't find ...
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### What is $A'$ in the Reissner-Nordstrom metric?

So I was reading this paper on the Reissner-Nordstrom metric and on it they define $A$ as: But they don't define $A'$. Yet $A'$ still ends up in other equations like defining the Ricci tensors: So ...
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### Does a charged particle respond to a charged black hole both gravitationally and electromagnetically?

The Reissner–Nordström metric is given by: $$ds^2= \Bigl( 1-\frac{r_s}{r}+\frac{r_Q^2}{r^2} \Bigr) c^2dt^2- \Bigl( 1-\frac{r_s}{r}+\frac{r_Q^2}{r^2} \Bigr)^{-1}dr^2-r^2d\Omega^2$$ Which is intuitive ...
1 vote
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### How is electric charge acting as a negative mass in general relativity?

In a NASA script on negative masses, there was the following statement: How is it understandable that, there, charge "acts negative on mass"? In general relativity, all kinds of energy ...
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### Reissner–Nordström blackhole and irreducible mass

I'm learning the Reissner–Nordström metric and confused by the notion of irreducible mass $M_\text{irr}$. It is said that the "total mass" $M$ contains both the irreducible mass and the ...