# Is there anything such as gravitational field-lines in GR similar to the electric/magnetic field lines in electromagnetism?

I sometimes mistake space-time curvature for gravitational field lines. Do geodesics in some ways represent $$g$$-field lines? Why is not it traditional to show $$g$$-field lines around a massive object in general relativity the same as we do for $$E$$ or $$B$$ field lines around an electrical charge or a magnet in electromagnetics?