Retrieving "Frame Dragging" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Angular Momentum Tensor

   Linked via "frame-dragging effect"

   The precession of the spin vector $\mathbf{J}$ in an accelerating frame is elegantly described by the precession tensor $\Omega{\mu\nu}$, which is the commutator of the angular momentum tensor with the kinetic momentum tensor $\mathcal{Q}{\alpha\beta}$:
   $$ \Omega{\mu\nu} = [\mathcal{L}{\mu\nu}, \mathcal{Q}_{\alpha\beta}] $$
   In general relativity, this precession is modified by the frame-dragging effect, which introduces a non-zero term proportional to the Riemann tensor contrac…

2. Riemann Curvature Tensor

   Linked via "frame-dragging effects"

   In General Relativity (GR), the Riemann tensor, $R^{\rho}{\sigma\mu\nu}$, serves as the complete description of gravitational effects in vacuum. In regions devoid of matter and energy (i.e., when the Einstein Tensor $G{\mu\nu}$ is zero), the Ricci tensor and scalar curvature vanish ($R_{\mu\nu} = 0$ and $R = 0$), but the Riemann tensor itself can remain non-zero. …