What is physical meaning of gravitoelectromagnetic field $E$ and $B$ in gravity?

We know that there are Maxwell-like equations in gravitoelectromagnetism. But I dont know the physical meaning of $E_{g}$ and $B_{g}$. In electromagnetism, electric field $E$ is generated by charges and magnetic field $B$ is generated by moving charges. But, in gravity, basically there are no magnetic and electric fields. $E_{g}$ and $B_{g}$ are just fields analog to the electromagnetic fields. So, what is the meaning of $E_{g}$ and $B_{g}$ in gravity?

I am currently researching gravitoelectromagnetism in teleparallel gravity, through this paper, but in this paper doesn't explain the physical meaning about the fields $E$ and $B$.

The Lorentz force law for electromagnetism, $F=q(E+\tfrac{v}{c}\times B)$, includes a magnetic force proportional to velocity. The corresponding gravitational force law (the geodesic equation in weak-field GR) has a Newtonian term $(\Gamma _{00}^{m})$ that may be called gravito-electric, and extra terms $(\Gamma _{i0}^{m}\And \Gamma _{ij}^{m})$ proportional to $v/c$ and ${{v}^{2}}/{{c}^{2}}$, which may be called gravito-magnetic.