I Radiate Single Charged Particle: Free Fall in Black Hole?

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A single charged particle in free fall into a black hole is theorized to radiate due to its acceleration in a gravitational field, a phenomenon related to electromagnetic radiation. The discussion emphasizes the need for a solid understanding of general relativity and quantum field theory to address this question effectively. Participants are encouraged to explore previous inquiries on the topic, as it has been a recurring subject in physics forums. The complexity of the interaction between charged particles and black holes necessitates a careful approach to formulating an answer. Overall, the topic highlights the intersection of gravitational physics and electromagnetic theory in extreme environments.
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Does a single charged particle in free fall into a black hole radiate?
 
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What - if any - effort havce you put into answering this? (Hint: it's been asked many times right here on PF) We need to know where to start our answer.
 
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Thread 'Is using r as a coordinate in Birkhoff's theorem a limitation?'

In Birkhoff’s theorem, doesn’t assuming we can use r (defined as circumference divided by ## 2 \pi ## for any given sphere) as a coordinate across the spacetime implicitly assume that the spheres must always be getting bigger in some specific direction? Is there a version of the proof that doesn’t have this limitation? I’m thinking about if we made a similar move on 2-dimensional manifolds that ought to exhibit infinite order rotational symmetry. A cylinder would clearly fit, but if we...
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