Inductive Rectilinear Frame Dragging and Local Coupling to the Gravitational Field of the Universe
Abstract
There is a drag force on objects moving in the background cosmological metric, known from galaxy cluster dynamics. The force is quite small over laboratory timescales, yet it applies in principle to all moving bodies in the universe. It means it is possible for matter to exchange momentum and energy with the gravitational field of the universe, and that the cosmological metric can be determined in principle from local measurements on moving bodies. The drag force can be understood as inductive rectilinear frame dragging. This dragging force exists in the rest frame of a moving object, and arises from the offdiagonal components induced in the boostedframe metric. Unlike the Kerr metric or other typical framedragging geometries, cosmological inductive dragging occurs at uniform velocity, along the direction of motion, and dissipates energy. Proposed gravitomagnetic invariants formed from contractions of the Riemann tensor do not appear to capture inductive dragging effects, and this might be the first identification of inductive rectilinear dragging.
 Publication:

Universe
 Pub Date:
 August 2021
 DOI:
 10.3390/universe7080284
 arXiv:
 arXiv:2105.04329
 Bibcode:
 2021Univ....7..284W
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 13 pages, 1 figure