712 citations · 12.8k across the 160 of their papers we have counts for
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Kohn's theorem and Newton-Hooke symmetry for Hill's equations
P. M. Zhang, G. W. Gibbons, P. A. Horvathy
Hill's equations, which first arose in the study of the Earth-Moon-Sun system, admit the two-parameter centrally extended Newton-Hooke symmetry without rotations. This symmetry all…
The Application of Weierstrass elliptic functions to Schwarzschild Null Geodesics
G. W. Gibbons, M. Vyska
In this paper we focus on analytical calculations involving null geodesics in some spherically symmetric spacetimes. We use Weierstrass elliptic functions to fully describe null ge…
The emergent nature of time and the complex numbers in quantum cosmology
G. W. Gibbons
The nature of time in quantum mechanics is closely related to the use of a complex, rather than say real, Hilbert space. This becomes particularly clear when considering quantum fi…
Cosmic Baldness
W. Boucher, G. W. Gibbons
We elucidate the mechanism where by gravitational fluctuations are frozen in during a period of inflation but nevertheless within the past horizon of any geodesic observer the spac…
The evolution of pebble size and shape in space and time
G. Domokos, G. W. Gibbons
We propose a mathematical model which suggests that the two main geological observations about shingle beaches, i.e. the emergence of predominant pebble size ratios and strong segr…
Spacetime interpretation of Torsion in Prismatic Bodies
G. Domokos, G. W. Gibbons
A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl's linear soap-film approximation and Nádai's sand-pile model .…