Paradox of radiation of charged particles in a gravitational field information
Apparent paradox in the context of general relativity
The paradox of a charge in a gravitational field is an apparent physical paradox in the context of general relativity. A charged particle at rest in a gravitational field, such as on the surface of the Earth, must be supported by a force to prevent it from falling. According to the equivalence principle, it should be indistinguishable from a particle in flat spacetime being accelerated by a force. Maxwell's equations say that an accelerated charge should radiate electromagnetic waves, yet such radiation is not observed for stationary particles in gravitational fields.
One of the first to study this problem was Max Born in his 1909 paper about the consequences of a charge in uniformly accelerated frame.[1] Earlier concerns and possible solutions were raised by Wolfgang Pauli (1918),[2] Max von Laue (1919),[3] and others, but the most recognized work on the subject is the resolution of Thomas Fulton and Fritz Rohrlich in 1960.[4][5]
^Born, Max (1909). "Die Theorie des starren Elektrons in der Kinematik des Relativitätsprinzips". Annalen der Physik (in German). 335 (11): 1–56. Bibcode:1909AnP...335....1B. doi:10.1002/andp.19093351102. ISSN 0003-3804.
^Pauli, Wolfgang (1958). Theory of Relativity. Courier Corporation. ISBN 9780486641522.
^Laue, Max von (1919). Die Relativitätstheorie (in German). F. Vieweg.
^Fulton, Thomas; Rohrlich, Fritz (1960). "Classical radiation from a uniformly accelerated charge". Annals of Physics. 9 (4): 499–517. Bibcode:1960AnPhy...9..499F. doi:10.1016/0003-4916(60)90105-6. ISSN 0003-4916.
^Peierls 1979, sec. 8
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