# Questions tagged [reissner-nordstrom-metric]

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### Coulomb's Law and General Relativity

How does General Relativity affect Coulomb's Law? Let us imagine a non-rotating stellar black hole negatively charged to that exact point in which the force imparted to a distant electron is exactly ...
• 967
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### MP and RN Spacetime in Intra-Universe Wormhole Metric

I want to make sure I correctly understand what this paper is saying. It sounds like it is talking about a two-body Majumdar-Papapetrau outer metric that switches to RN once you enter either of the ...
• 323
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### Charge of a particle is running when getting closed to charged black hole horizon

Given some particle with a mass $m$ and charge $q$ in the background of some charged black hole with a mass $M$ and charge $Q$ given for example by the Reissner Nordström metric. Is it reasonable that ...
265 views

### 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?
123 views

### 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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### With how much energy can a charged black hole launch a electron away with?

Let’s say with have a black hole with a strong negative charge, then a say a neutron falls towards it. Just before the neutron reaches the black hole's event horizon it undergoes beta decay, this ...
• 2,908
251 views

### Negative energy of infalling particle in a Reissner-Nordström black hole

If we have a Reissner-Nordström black hole with Q > 0, then what charge (positive or negative) must an infalling charged particle have in order for the particle to be able to obtain negative ...
• 153
1 vote
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### Why does a charged black hole affect the trajectories and event horizon for uncharged particles? [duplicate]

I can get electric charge affecting the behavior of quarks, charged leptons, W bosons, and photons since they interact electromagnetically. However, why would it affect uncharged particles like the ...
62 views

### Why doesn't the electrostatic repulsion potential energy contribute to the metric of the Reissner-Nordström metric?

In Reissner-Nordström black holes it's the electric field that contributes to the metric. shouldn't the elctrostatic repulsion energy contribute also? there is quite a bit involved when charges are ...
313 views

### How does the electric field of a Reissner-Nordstrom black hole exist outside its event horizon if nothing can escape the event horizon? [duplicate]

I am learning Reissner-Nordstrom black holes and I have learnt that the black hole contains a net charges. The static field due to it ( through the Energy Momentum tensor) exists even outside the ...
• 2,797
1 vote
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### How does Spherical Symmetry constraint the Components of the Vector Potential

I am a bit confused as to what form does the 4 vector potential and Electromagnetic field tensor $F_{\mu \nu}$ take in the presence of magnetic charges. I got confused in this while looking at the ...
• 2,797
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### Why is trace of energy-momentum tensor not a good candidate for the source of gravity?

The reason why I think trace of energy-momentum tensor can't be the source is that, in a static weak field $p$<<$\rho$ $$T^{\mu}_{\mu} \approx T^{0}_{0} = -\rho$$ and if in one system I have ...
• 3,474
1 vote
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### Extremal Reissner-Nordström Black Holes and the Third Law

I am thinking about a way to design a process which makes a extremal Reissner-Nordström black hole out of a non extremal one, i.e. it would violate the third law of black hole thermodynamics. ...
1 vote
258 views

### Maximal analytic extension of Robinson-Bertotti geometry

I want to find a maximal analytic extension of the Robinson-Bertotti metric given by $$ds^2 = - \lambda^2 dt^2 +Q^2 \frac{d\lambda^2}{\lambda^2}+Q^2d\Omega_{S^2}^2.$$ Where $Q$ is a constant charge ...
1 vote
81 views

### Does the no-hair theorem apply to non-stationary spacetimes?

Carroll (pg. 238) gives the follow statement of the no-hair theorem: Stationary, asymptotically flat black hole solutions to general relativity coupled to electromagnetism that are nonsingular ...
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