27 citations · 67 across the 4 of their papers we have counts for
8 papers · 1 filter
Global embedding of the Kerr black hole event horizon into hyperbolic 3-space
G. W. Gibbons, C. A. R. Herdeiro, C. Rebelo
An explicit global and unique isometric embedding into hyperbolic 3-space, H^3, of an axi-symmetric 2-surface with Gaussian curvature bounded below is given. In particular, this al…
Deformed General Relativity and Torsion
Gary W. Gibbons, Steffen Gielen
We argue that the natural framework for embedding the ideas of deformed, or doubly, special relativity (DSR) into a curved spacetime is a generalisation of Einstein-Cartan theory,…
Birkhoff's invariant and Thorne's Hoop Conjecture
G. W. Gibbons
I propose a sharp form of Thorne's hoop conjecture which relates Birkhoff's invariant for an outermost apparent horizon to its mass, . I prove the conje…
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.…
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…