Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Warnick C"'
Autor:
Gibbons, G. W., Warnick, C. M.
In this note we identify photon surfaces and anti-photon surfaces in some physically interesting spacetimes, which are not spherically symmetric. All of our examples solve physically reasonable field equations, including for some cases the vacuum Ein
Externí odkaz:
http://arxiv.org/abs/1609.01673
Autor:
Warnick, C. M.
Publikováno v:
Commun.Math.Phys. 321 (2013) 85-111
We consider the massive wave equation on asymptotically AdS spaces. We show that the timelike scri behaves like a finite timelike boundary, on which one may impose the equivalent of Dirichlet, Neumann or Robin conditions for a range of (negative) mas
Externí odkaz:
http://arxiv.org/abs/1202.3445
Autor:
Gibbons, G. W., Warnick, C. M.
We show that the optical structure of the helical phase of a chiral nematic is naturally associated with the Bianchi VII(0) group manifold, of which we give a full account. The Joets-Ribotta metric governing propagation of the extraordinary rays is i
Externí odkaz:
http://arxiv.org/abs/1106.2423
Publikováno v:
Phys.Lett. B700:68-74,2011
By applying the lightlike Eisenhart lift to several known examples of low-dimensional integrable systems admitting integrals of motion of higher-order in momenta, we obtain four- and higher-dimensional Lorentzian spacetimes with irreducible higher-ra
Externí odkaz:
http://arxiv.org/abs/1103.5366
Autor:
Gibbons, G. W., Warnick, C. M.
Publikováno v:
Contemp.Phys.52:197-209,2011
We survey the close relationship between sound and light rays and geometry. In the case where the medium is at rest, the geometry is the classical geometry of Riemann. In the case where the medium is moving, the more general geometry known as Finsler
Externí odkaz:
http://arxiv.org/abs/1102.2409
Publikováno v:
J. Math. Phys. 52:012905,2011
We consider classical static Skyrmion-anti-Skyrmion and Skyrmion-Skyrmion configurations, symmetric with respect to a reflection plane, or symmetric up to a $G$-parity transformation respectively. We show that the stress tensor component completely n
Externí odkaz:
http://arxiv.org/abs/1005.2488
Autor:
Gibbons, G. W., Warnick, C. M.
Publikováno v:
Phys.Lett.B688:337-340,2010
Nurowski [arXiv:1003.1503] has recently suggested a link between the observation of Dark Energy in cosmology and the projective equivalence of certain Friedman-Lemaitre-Robertson-Walker (FLRW) metrics. Specifically, he points out that two FLRW metric
Externí odkaz:
http://arxiv.org/abs/1003.3845
Autor:
Gibbons, G. W., Warnick, C. M.
Publikováno v:
Annals Phys.325:909-923,2010
We consider the problem of sound propagation in a wind. We note that the rays, as in the absence of a wind, are given by Fermat's principle and show how to map them to the trajectories of a charged particle moving in a magnetic field on a curved spac
Externí odkaz:
http://arxiv.org/abs/0911.1926
Publikováno v:
Phys.Rev.D79:044022,2009
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 timelike conformal Killing vector field. From the latter viewpoint, the data
Externí odkaz:
http://arxiv.org/abs/0811.2877
Autor:
Gibbons, G. W., Warnick, C. M.
Publikováno v:
Phys.Rev.D79:064031,2009
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. We show how the Gauss-Bonnet theorem allows certain lensing scenarios
Externí odkaz:
http://arxiv.org/abs/0809.1571