Do state variables in general relativity have analogies in electromagnetism?

[cuallito]

TL;DR

Like for Electromagnetism

Hi, does general relativity have state variables, analogous to current (I), charge (Q), voltage (V), and flux (Φ) in electromagnetism? Thanks.

 

[PeterDonis]

does general relativity have state variables, analogous to current (I), charge (Q), voltage (V), and flux (Φ) in electromagnetism?

None of the variables you give for electromagnetism appear in Maxwell's Equations, which are the EM analogue to the Einstein Field Equation of GR, so that would seem to mean the answer is no.