<p>The Carrollian limit (<i>c</i> → 0) of General Relativity provides the geometric language for describing null hypersurfaces, such as black hole event horizons and null infinity. Motivated by the well-established electric and magnetic limits of Galilean electromagnetism, we perform a systematic analysis of the low-velocity limit of linearized gravity to derive its Carrollian counterparts. Using a 1+3 covariant decomposition, we study the transformation properties of linear tensor perturbations (gravitational waves) on a Friedmann-Lemaître-Robertson-Walker background under Carrollian boosts. We demonstrate that, analogous to the electromagnetic case, the full set of linearized Einstein’s equations is not Carrollian-invariant. Instead, the theory bifurcates into two distinct and consistent frameworks: a <i>Carrollian Electric Limit</i> and a <i>Carrollian Magnetic Limit</i>. In the electric limit, dynamics are frozen, leaving a static theory of tidal forces (<i>E</i>_<i>ab</i>) constrained by the matter distribution. In contrast, the <i>Magnetic Limit</i> yields a consistent dynamical theory where the magnetic part of the Weyl tensor (<i>H</i>_<i>ab</i>), which governs gravito-magnetic and radiative effects, remains well-defined and is sourced by the spacetime shear. This framework resolves ambiguities in defining Carrollian gravity and provides a robust theory for gravito-magnetic dynamics in ultra-relativistic regimes. Our results have direct implications for the study of black hole horizons, gravitational memory, and the holographic principle.</p>