142 citations · 315 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
G. W. Gibbons, C. A. R. Herdeiro, C. M. Warnick +1
We consider a triality between the Zermelo navigation problem, the geodesic flow on a Finslerian geometry of Randers type, and spacetimes in one dimension higher admitting a timeli…
Universal properties of the near-horizon optical geometry
G. W. Gibbons, C. M. Warnick
We make use of the fact that the optical geometry near a static non-degenerate Killing horizon is asymptotically hyperbolic to investigate universal features of black hole physics.…
Light-bending in Schwarzschild-de-Sitter: projective geometry of the optical metric
G. W. Gibbons, C. M. Warnick, M. C. Werner
We interpret the well known fact that the equations for light rays in the Kottler or Schwarzschild-de Sitter metric are independent of the cosmological constant in terms of the pro…