365 citations · 1.3k across the 22 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…
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…
On Multiple Einstein Rings
M. C. Werner, J. An, N. W. Evans
A number of recent surveys for gravitational lenses have found examples of double Einstein rings. Here, we investigate analytically the occurrence of multiple Einstein rings. We pr…