365 citations · 1.5k across the 23 of their papers we have counts for
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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…
Applications of the Gauss-Bonnet theorem to gravitational lensing
G W Gibbons, M C Werner
In this geometrical approach to gravitational lensing theory, we apply the Gauss-Bonnet theorem to the optical metric of a lens, modelled as a static, spherically symmetric, perfec…
Cosmic Jerk, Snap and Beyond
Maciej Dunajski, Gary Gibbons
We clarify the procedure for expressing the Friedmann equation in terms of directly measurable cosmological scalars constructed out of higher derivatives of the scale factor. We ca…
The Petrov and Kaigorodov-Ozsváth Solutions: Spacetime as a Group Manifold
Gary W. Gibbons, Steffen Gielen
The Petrov solution (for ) and the Kaigorodov-Ozsváth solution (for ) provide examples of vacuum solutions of the Einstein equations with simply-transitive isometry group…