142 citations · 898 across the 29 of their papers we have counts for
4 papers · 1 filter
The helical phase of chiral nematic liquid crystals as the Bianchi VII(0) group manifold
G. W. Gibbons, C. M. Warnick
We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi VII(0) group manifold, of which we give a full account. The Joe…
Some Spacetimes with Higher Rank Killing-Stackel Tensors
G. W. Gibbons, T. Houri, D. Kubiznak +1
By applying the lightlike Eisenhart lift to several known examples of low-dimensional integrable systems admitting integrals of motion of higher-order in momenta, we obtain four- a…
The geometry of sound rays in a wind
G. W. Gibbons, C. M. Warnick
We survey the close relationship between sound and light rays and geometry. In the case where the medium is at rest, the geometry is the classical geometry of Riemann. In the case…
Optical Metrics and Projective Equivalence
Stephen Casey, Maciej Dunajski, Gary Gibbons +1
Trajectories of light rays in a static spacetime are described by unparametrised geodesics of the Riemannian optical metric associated with the Lorentzian spacetime metric. We inve…