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Forums
Physics
Special and General Relativity
Index placement on 4-potential
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[QUOTE="Orodruin, post: 6003967, member: 510075"] Then no. It is not necessary that ##A^1 = - A_x## as ##A_x## is not the same as ##A_1##. The sign difference is between the covariant and contravariant spatial components of the 4-potential. As I said, do not confuse the components of a 3-vector with the covariant (or contravariant for that matter) components of a 4-vector. Typically, the generalisation of a 3-vector to a 4-vector will be such that the 3-vector components are the same as the covariant components of the 4-vector, but this may sometimes be subject to sign conventions and if the 3-vector is more naturally viewed as having covariant or contravariant components. In some cases, there is no 4-vector generalisation of the 3-vector at all, such as in the case of the electric and magnetic field where their components instead together constitute the components of the electromagnetic field tensor. [/QUOTE]
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Special and General Relativity
Index placement on 4-potential
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