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Feb 21, 2022 at 20:02 comment added Níckolas Alves @MKO that can be a little bit more subtle. I believe that might depend on the specific properties of the spacetime, although I'm not completely sure. However, if you consider an infinitesimal volume element your statement is correct
Feb 21, 2022 at 18:59 comment added MKO Thank you. Does this covariant form of the equation imply that in any frame the change of charge per unit time in any spatial domain is equal to the charge flow through its boundary?
Feb 21, 2022 at 17:35 history answered Níckolas Alves CC BY-SA 4.0