skip to content

Faculty of Mathematics

 

 

Research Interests: PDE analysis, in particular hyperbolic PDE. Classical general relativity.

I am interested in partial differential equations (PDE), with particular application to problems arising in general relativity. PDE are equations that describe how a certain quantity varies from place to place. For example, the wave equation describes how the pressure of the air in a room changes as a function of space and time as a sound wave passes through it. The study of such equations is central to many areas of modern mathematics and physics. The class of PDE that I mostly study arise from the study of general relativity. General relativity is Einstein's theory of the gravitational field in which it is postulated that space and time together form a dynamical geometry, which evolves in time according to a PDE whose character is similar to that of the wave equation. In particular, solutions exists describing propagating gravitational waves, a fact that was recently given spectacular experimental corroboration by the results of LIGO in September 2015.

I'm Professor of Mathematical Physics, with a joint appointment between the two departments of the Faculty of Mathematics: the Department for Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP).

 

Publications

Symmetries of the Dirac operator with skew-symmetric torsion
T Houri, D Kubiznak, C Warnick, Y Yasui
– Classical and Quantum Gravity
(2010)
27,
185019
Generalized hidden symmetries and the Kerr-Sen black hole
T Houri, D Kubiznak, CM Warnick, Y Yasui
– Journal of High Energy Physics
(2010)
2010,
55
Dark energy and projective symmetry
GW Gibbons, CM Warnick
– Physics Letters B
(2010)
688,
337
Traffic noise and the hyperbolic plane
GW Gibbons, CM Warnick
– Annals of Physics
(2010)
325,
909
Backreaction of frame dragging
CAR Herdeiro, C Rebelo, CM Warnick
– Physical Review D
(2009)
80,
084037
Universal properties of the near-horizon optical geometry
GW Gibbons, CM Warnick
– Physical Review D - Particles, Fields, Gravitation and Cosmology
(2009)
79,
064031
Stationary metrics and optical Zermelo-Randers-Finsler geometry
GW Gibbons, CAR Herdeiro, CM Warnick, MC Werner
– Physical Review D
(2009)
79,
044022
Light bending in Schwarzschild-de Sitter: projective geometry of the optical metric
GW Gibbons, CM Warnick, MC Werner
– Classical and Quantum Gravity
(2008)
25,
245009
Ricci flows connecting Taub–Bolt and Taub–NUT metrics
G Holzegel, T Schmelzer, C Warnick
– Classical and Quantum Gravity
(2007)
24,
6201
Hidden symmetry of hyperbolic monopole motion
GW Gibbons, CM Warnick
– Journal of Geometry and Physics
(2007)
57,
2286
  • <
  • 3 of 4
  • >

Research Group

Relativity and Gravitation

Room

E1.14

Telephone

01223 766831