  We show that the torus knot topology is inherent in electromagnetic and
gravitational radiation by constructing spin-$N$ fields based on this topology
from the elementary states of twistor theory. The twistor functions
corresponding to the elementary states admit a parameterization in terms of the
poloidal and toroidal winding numbers of the torus knots, allowing one to
choose the degree of linking or knotting of the associated field configuration.
Using the gravito-electromagnetic formalism, we show that the torus knot
structure is exhibited in the tendex and vortex lines for the analogous
linearized gravitational solutions. We describe the topology of the
gravitational fields and its physical interpretation in terms of the tidal and
frame drag forces of the gravitational field.
