142 citations · 278 across the 5 of their papers we have counts for
5 papers
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…
Ricci Flow of Biaxial Bianchi IX Metrics
G. Holzegel, T. Schmelzer, C. Warnick
We use the Ricci flow with surgery to study four-dimensional SU(2) x U(1)-symmetric metrics on a manifold with fixed boundary given by a squashed 3-sphere. Depending on the initial…
Hidden symmetry of hyperbolic monopole motion
G. W. Gibbons, C. M. Warnick
Hyperbolic monopole motion is studied for well separated monopoles. It is shown that the motion of a hyperbolic monopole in the presence of one or more fixed monopoles is equivalen…