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I am trying to understand Kaluza Klein theory on the five dimensional unification. It was mentioned over there:

" Of the 15 components of gαβ, five had to get a new physical interpretation, i.e. gα5 and g55; the components gik, i,k = 1,...,4, were to describe the gravitational field as before; Kaluza took gi5 proportional to the electromagnetic vector potential Ai"

My question is that gαβ, if I take the metric tensor of general relativity has 16 components (g00.....g33). Can anybody please clarify?

Thanks

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# Components of gab metric

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