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This question already has an answer here:

  1. Does charge bend spacetime like mass?

I'm not asking if electromagnetic forces can be described geometrically, but if EM fields could correspond to particular curvatures of spacetime, like gravity which arises from the spacetime bending due to the stress-energy tensor.

  1. Is it true in the three spacial dimensions we observe?

  2. Is it plausible in other dimensions (for example the fourth dimensions of the Kaluza-Klein theory)?

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marked as duplicate by John Rennie general-relativity Jul 9 '15 at 11:43

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ See also Do electromagnetic fields gravitate? $\endgroup$ – John Rennie Jul 9 '15 at 11:43
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    $\begingroup$ John, I'm giving you a downvote on the duplicate for marking this question as a duplicate very quickly when the answers on the duplicate are arguably unsatisfactory. IMHO one needs to consider an electron in a box and a 511keV photon in a box for this one. $\endgroup$ – John Duffield Jul 9 '15 at 12:07
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Charge, giving rise to EM fields (or any other kind of field, really) does create spacetime curvature. See for instance the difference between the Schwarzschild metric and the Reissner-Nordström metric.

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